Dillon bro? How are you? I'm blessed black and highly favored man Waxes here. Let's get right to it. Yeah What did you see this week shows that made you say positively brilliant?  I'm gonna tell you what I saw was brilliant was a comment on YouTube with somebody said Shawlam ain't asked shows that question every week and shows acts like Shows acts like he don't know shows was like positively brand. I don't know. That's a good question He don't know I'm gonna ask You know, you know, you know, it's absolutely true is every week I tell myself after we record Yo next week. I'm gonna have something for positively brilliant And then then brilliant is comes around. I'm like Taylor when we ask her to do her job, bro I'm stalling. Excuse me. I'm doing absolutely nothing knows. So honestly, what is positively brilliant this week?  I don't know if it's positively brand I don't know where this lands, but I thought it was hilarious. I still think is it because it's happening right now Tick-tock trying to cancel Eminem.  I don't get it Get out of there.  What happened They're just playing old Eminem lyrics and doing what outrage culture does Trying to build a case against Eminem, but I'm gonna tell you why that will never work That's Eminem's whole stick Yeah, it's tricky man because if you go back and listen to some Eminem songs or even like some skits Oh, they wow boy brilliant. It is all brilliant.  Yeah, yeah, yeah, yeah, it is come on. It is crazy.  It's it's crazy, but the funny part is just listening to kids be upset You're not gonna build a case against M&M.  Yes, he was everybody's guilty pleasure. Yeah, I never was a fan I never was like I respected him as a lyricist, but I never was a die-hard M&M fan But he has a lot of die-hard fans. I was a fan bro really I felt heard Really? Yeah, why I heard he didn't relate. I mean he was a white dude from the Midwest Yeah, relate to how did you relate to him as a white New York at the time? I would say more liberal Right not saying you're conservative now. I'm just saying you had a lot more liberal values back then I would think I don't think my values have changed at all Really? Yeah, not in the least. What's changed what values? I Don't know. I mean, that's a good point cuz I know for a fact I got more conservative values Just because I'm from the South there's things that I like that. I know lean a little bit more a little bit More conservative. I was teasing about feeling hurt from M&M. I just thought he was a wild fucking boy But in terms of values, yeah, none of my values have changed at all It's just what has become important parts of like national discourse has changed So and what's crazy is we should be able to have a conversation about that without it being an issue Is this you don't think sometimes Crips see something really nice and red and they go that'd be cool Like I like those You don't think a Crips sees a dope Versace shirt that might got some red in it and he's like You know, I'm blue mostly but sometimes I like fucking with the red Yeah, yeah, yeah, yeah, I mean to that point though is just as you get older It's just about what you pick and choose to give energy to that's all I guess my point with the whole thing about like how you identify politically is like It's so stupid to think that you believe only the things that your party believes like if you're reasonable That's why I don't like the term centrist, right because I'm not I don't I'm not in the center I am left with these things right with these things You know what I'm saying and then my overall probably is in the center if you average it all out But I don't hear every issue and go yeah, both sides make sense But I think that's what makes you a centrist though, right because you're not on either side I think what they mean Senate is it's like you are in the middle Like you could go either way that the problem with the left and right thing is People on the left refuse to hear what the right is saying People on the right refuse to hear what the left is saying I think the middle at the center is the best place to be because you got both ears open Yeah, but it's also pussy because it's like you don't have a stance on it So it's like I have a strong stance on all these different issues Sometimes my stance is left. Sometimes my stance is right. I have a strong sense That doesn't mean that I'm not willing to listen to your stance. There's right And I'm not willing to listen to your stance is left as well But I still feel certain ways about things, you know, I mean I this idea that these people like are just in the middle And they don't sway in either way. I don't think I just a lie. Come on, bro Come on I I think that's actually the best place to be because once again Like, you know, the 48 laws of power always says, you know, do not do not commit to anyone They were like fools rush to pick sides, you know what I mean and to me it's not about a side It's just simply about what I personally believe is right or wrong in that situation A lot of times it's due to my own self-interest other times is due to how can this benefit the whole Of us if I hear an idea that I may not necessarily agree with but I know that it's going to benefit a mass majority of people I'm probably going to ride with the idea that benefits the mass majority of people Right And I think the middle most of the time is the best place to be that's the whole problem with the world right now All right, because everything's not right or wrong. Everything's not good or bad, right? Everything's not republican democrat.  Uh, I forgot what it was. I forgot. I forgot what the other one was I don't remember what the other one was, but it's just like what are you doing? All right, by the way, do you have to be anything you don't and that's the problem now It's like you can't even agree like if the president says vanilla ice cream is delicious and you go No, no trump is right about that.  Because no motherfucker a broken clock's not right twice a day a broken clock is just broke It's just broke You know what i'm saying like that to me when you got a broke clock if you got a broke clock on the wall Right and it's just sitting there. You probably can't afford a new one So you're just trying to make the best out of a bad situation. Well, it's 6 30 in the morning Well, it's 6 30 at night That's the only time you look at that clock. You're right.  You need a whole new clock That's all i'm saying everybody's ideas aren't great because some people because think about it The broke clock's only right twice a day What about the other 22 motherfucking hours? Is that what you really want? That's the pros and cons and things though.  Like I I got if I if i'm dealing with you on any level other than business because i'll take 20 of a billion dollar company all day long But other than anything else it's like it gotta be a 50 50 If not, it's like, what are we doing?   Yeah, we're gonna get money.   How many outbats did you get? Well, it you're you're basically hitting and getting on base 30 percent 30 out of every 10 if you get on base three out of every 10 you're a genius So what is the level? What is the level for genius bro?  You're out the league for three out of 10 That's not even a d-league exactly. So it really depends when it comes to like genius There are certain things that we tolerate more failure and certain things we tolerate almost none You know in order to be a genius free throw shooter you got to shoot nine out of ten Nine out of ten got to go in in order to be a genius investor You probably got to get one out of ten in order to be a genius tv producer You probably need one out of ten one out ten. Yeah, yeah, that is true.  Who's Matthew knows?  I guess I guess he still had artists and stuff like that, but guess what nobody cared Because they have to be on that level they have to be on the caliber of a destiny's child one of the biggest rmb Groups of all time one of the biggest girl groups of all time period They got to be on the level of a Beyonce.   Yeah, bogey and paul jay All right, he's a different weight class. Like I said, man, stop. I will love to see that stop. I'm just saying That'd be easy. You think the logan paul is gonna beat floyd may well if he do he water himself down get out the way This one of them times we just creating content for the podcast Wax really serious like you're really serious. Yo, andrew. Do you think that this guy? I think he I think he hit hard in the floyd out the floyd never knocked anybody out He's not going to touch All right, then I want to see it if he do I think he's gonna hit him hard I think floyd not used to getting her. I'm hit first off And floyd never knocked anybody out that I've seen that he actually put him out. Floyd's knocked out people I ain't see him like that. Floyd's knocked out people. I see a lot of tapping this.  You know why nobody ever hit floyd I understand it's hard to hit this guy, but if he get hit up and do put on a bad situation I think he's going when you think he will though. That's the point. I think floyd not lose because a different weight class I just want to see I would love wax wax. Let me hear wax. Let me hear it. I know logan Okay, okay. I'm not saying he's a close friend But he's a colleague You've been on his pocket. He watched the super bowl at my house out here in miami We do each other podcast. He's a very sweet guy I've told him to his face That floyd mayweather is going to demolish him Listen, that's cool. That's all good. I'm looking at weight class. No wax wax wax wax wax What is the weight class makes him so much slower than floyd? Here's the thing. What is what is floyd the best at? What is he known as the best at? Out the way I think if I shoot at floyd once he could move out the way at least one bullet at least one bullet Now at least one. What do you think that logan? Has offensively That floyd hasn't seen from the best fighters in history in the world different weight class Wax that makes him slower. Don't make us more power If he gets you if he gets you in a situation, he's going to be in trouble He's way slower than floyd. Floyd's conditioning is still better. I would love to see that. Make sure we are watching this fight I would love to see this one. So floyd mayweather fought floyd mayweather fought Uh, a guy named canelo alvarez made him embarrassed him embarrassed canela canelo alvarez could not touch him And canelo alvarez could not touch him is super fast has great head movement canelo alvarez is fighting guys right now They weigh 168 pounds. That means they probably walk around around 190 pounds. Okay Logan paul probably weighs 190 something like that. Maybe a little bit more, but he's muscular By the way that night that night of canelo, uh, mayweather. They said canelo He weighed in at like 160 something but they said on fight nights. He might have been like 180 Yeah, he said he might have been like 180 180 514 floor when I and by the way canelo is the best pound for pound Boxing right now. Floyd way when I know right now. How much floyd way or are you gonna? I bet you right now floyd's walking around at 153 or something. I doubt I doubt that much 49 I doubt that much for 149 But still around that area we're talking about around his fighting weight Okay, yo, he made when I say he embarrassed canelo so bad and this was floyd was old Canelo was super young like early 20s. He made canelo miss so bad one time that canelo hit the top rope I remember that listen. I'm not taking nothing from floyd. I just saying saying your weight class you'll stay there You'll be okay. Just like um, just like robison.   I'm talking about you could walk in floyd's room and go boop and swing He'd move out the way. I get what you're saying, but ain't we talking about the guy knows And he over here doing uh, he's trying to do something else. So I'm talking about robison. He shouldn't have went boxing He was dunking on people.  It is. It is. It's just a different wax Skill set. It's just like football.  It's a payday. You're the only person I'm looking at. I'm looking at size He's gonna beat floyd mayweather. Are you basing him off the other one? No, I'm hell.  Floyd don't even got to hit hard. It's just going to be the repetition of papap papap Are you talking about because he's older now? No, it's not that he's older at all.   But here's the thing He weighs 200 I'm talking through experience, but he weighs 200, but he's bulked up to 200. He's not lean 200 Oh my god, he's gonna get hurt He's put it on weight to be muscular at 200 pounds if he was a pure boxer He'd probably walker. He'd probably fight at 175 if he was gonna be like a pure boxer He's my height. He's about six two and how many um, how many fights does he had two? Yeah, I think two two fights Listen, I'm listening. I'm with you I will be honest with you though I will be honest with you though I've heard from people that his brother Jake could fight for real and I've heard from people I respect guys who are in boxing We've seen Jake Yeah, but we saw him fight against Nate Robinson Nate right up Rob is a camp fight for shit But I've heard from dudes that are like in the gym like seeing him spar like work with him. They say that They're like yo the same guy that's fighting um, Floyd, right? No, that's logan Logan his brother. Listen, Jake is probably a good amateur fighter, but I saw him on world star yesterday You know trying to call out canado alvarez. It's like relax, buddy Real talk Jake is saving boxing.    Floyd money may weather There we go Floyd money may weather was Floyd money may weather did that after he got to a certain point and he was really good really skilled He had beat a bunch of boxes Bernard Hawkins played the villain his whole career I'm not saying that Jake is as good as these professional boxers Obviously professional boxers are going to whip his ass, but he's undeniably Creating interest in a sport that was devoid of interest the only interesting people that were in boxing Were Tyson fury and diana tay wilder diana tay wilder I think got concussed to the point where he don't even remember history correctly And Tyson fury is just fighting english dudes in england like nobody else is holding up the boxing game Manny Pacquiao still giggling.  Oscar de la Hoya I'm gonna be I don't think and I couldn't they were probably going out on the weekends Who? Fox that girl you were talking about earlier Oh, there was times there was times. Um, there was a time when boxing was the biggest sport in in america, right? Yeah, but I think around the 80s 90s 2000s for the most part except for like one fighter, which is probably mike tyson Boxing was for the casual fan. I mean for for the for the diehards. It wasn't for the casual fans Now we were Dude, the oscar de la Hoya era boxing was massive the floyd may whether era boxing was massive like they were big guys Casuals, I don't think de la Hoya bought in casuals everybody who did oh de la Hoya Was the first to bring in the casuals. He had the biggest pay-per-view numbers in history Yeah, and he was the first one not the first but one of the first to bring in women Women saw him. He was a good-looking guy and they went crazy. They'd pull up to the fights But you also gotta remember once boxing started doing them 24 seven documentaries that changed the game Because it was like looking at reality reality shows, but we didn't watch all of them We watched me I watch now, but I'm a boxing guy. I love boxing.  We lost the we lost the personalities, man Once the personalities go.  Oh, yeah.   He's ruining the sport. Yada. Yada. Yada. I'm like, oh You say he helping the sport.  It's got to be a tyson fury fight. Lennox louis. Yeah It's got to be big Lennox louis bro. Lennox louis hasn't fought since Way before we even started podcast Who's wax bro that wax weed bro.   What I literally what I told what I told jake was this I said listen You are going to get one fight against a legit guy And that's the fight you need to cash in You know what i'm saying? It's like don't take the fight with the real boxer Until you're willing to lose the fight because everything.  I'd be trying to create my own league Yeah, but get fighting the real fighters.    I'm mad already.    Nate where has Nate even been on instagram? Yeah, Nate is gone, bro Yo, he's gone.   No for real man.  Oh, man. They damn After and then after that But it was like some, you know, god got a plan with one door closed God did have a plan Yeah For jake paul it was a plan for jake Not a plan for me By the way, that's what you and when I google him. That's all that comes out. I know man And I think we talked about that on the podcast if I was Nate's Homie if I was in Nate's corner, I would have told Nate don't take that fight.   What's his name?   He could have been anybody could have watched him Even though he's a bad guy, but once you got once you lost anybody like man looking at this shit I see what y'all saying, but I love boxing. I think boxing is great right now boxing too Man name five boxers that are boxing right now Gervante Davis, Tyson fury Canelo Alvarez, Terrence Crawford, Earl Spencer, Sean Porter First of all, it's Earl Spence Keith Thurman, what did I say? Earl Spencer? Oh, it's today. Keith Thurman Leroy Devella What? Leroy Devella, man.  Yeah, Anthony Joshua.          What? Yeah, yeah, yeah, I'm like, huh? What does that even mean?    Yeah, keep flirting Yeah, you want it. Oh, I know you wanted it I see you I see you You buttering me up You buttering me up over here Yes.  Yo, that's a weird guy, bro You gotta be like Rocky. We think Rocky kept telling Mr. T What is that? You ain't bad. You ain't bad. You ain't nothing. You ain't nothing. By the way, Rocky ruined boxing If you want to talk about what we're doing boxing If you ever want to see some fights that ain't had no motherfucking defense Nobody fought like that. You ever you get knocked out. What type of jaw he got? Well, is he Mexican? Mexican got some strong He's Italian, bro He's Italian, bro Italian is Italian And he you ain't bad You ain't bad You got to talk to these guys the same way Rocky used to be talking to these dudes, man Yeah You knocked me out.  I knew you wanted it. I knew you wanted it. Yeah I think he's like Rocky talked like that He did That's how Rocky spoke. You don't remember when he said that? I never Adrian. I don't think I remember when Rocky moved his Adrian, bro and run up the stairs Yeah, he was calling for Adrian Notice that his girl had a male name Adrian is a girl name. Don't do that Adrian Broner Yeah, that's one guy, but a lot of girls names are Adrian Adrian Bonham, huh? I don't know. I don't know. Rocky might be on to something Rocky might be on some he might have gotten off.  Yes, man. Because you couldn't see he loves the pain.   No, that's why I like it. I like it in my not only did Rocky like physical pain He liked emotional and mental pain because anytime Rocky was traumatized He became a better individual. He went in the freezer and we've seen blood When he was hitting the meat, huh? When he was hitting the meat, yo, why do you think he was hitting the meat though? To see the blood come out. No, bro. He like he like beating that meat Yo, weck weck there's a lot of sexual innuendo in Rocky It's just a sea breeze man. Because he never went that meat freezer and went to beat the meat I don't like he had access to a full boxing gym with all the equipment that he needed But no, he wanted to go beat that meat and he wasn't being his meat He was beating other people's meat a lot of meat. That's a big meat too. No, seriously. Thank you Which I was wrong when you think about Rocky it Trauma is what fueled Rocky literally because when Mickey died That trauma of Mickey dying.  I got to do this Mickey when Apollo died trauma. He wouldn't go fought the motherfucking russian when he went broke You know what I mean? His ego was crushed over uh, the little young Tommy Morrison, you know what I mean trauma He was broke Ego was broken Trauma is what made uh, Rocky who he was and his girl name is a dream I don't know what I don't either, bro. I don't either bruh wax wax Where are you going with that? You just you just want us to know you I want my girl name Adrian. Huh? All right. Yeah one. What's up? Why wouldn't you want your girl name to be adrian?  I heard wax doesn't even eat charlson chews. He thinks that there's two Yeah, listen, all I don't do is use plaid Silverware because of things I used to do other than that.     I'm telling you that's why I want wax to go to therapy so bad You need to go to therapy wax. He does man.  Let's just talk about it Let's talk about what it is. You had knives in your colon. No, it wasn't not. He's just corrected us It was spoons.    You know what I mean?    Was it a busy restaurant? Was it a diner? It was a diner in jersey, right? It was a diner. Oh, yeah Yeah, I had to work there. I had to be in the only job. I had a sweet floors and do dishes I'm like, yo, come on. Uh, and I tried to get fired.   I was like, I gotta do something I just seen some forks and stuff.  I just stopped coming. Why would you get fired for something that nobody saw wax? No, I just wanted to get out of there. It's really bad for me. At that time I had to get a job It's almost as if you did that in private because it's something you want to do That should sound like some type of weird fetish.    That's what it is.    I did we got to get a therapist on the podcast I think we do have to have a therapist sit down It's just for that right there anything else. I'm kind of good at I don't smoke weed on sunday Yeah, I don't eat silverware. That's it And look now he pushing legal weed. Hey, man, still trying to get men to taste him He named the weed after himself He named the weed after himself is called who's wax and it beats. Yo the crazy part is what I love I love hearing wax sell his products because he'd be like, yo, you need to taste this wax, you know I'm saying this wax Like I ain't seen him say it to no girls yet. I've been seeing him say it to dudes all the time Like, you want to taste this wax? Yo, this wax is good.  I'm telling you that wax to change your life Basically, there are men in this country that are not only putting wax in their mouth They're also putting in their throat. Is that true? That's right, that's right That's right and loving it. Oh my god Loving it and wax I mean weed is an aphrodisiac in a lot of ways.   I hope it's all girls who made my plants Because I don't want to smoke nobody else. I want to smoke a guy. It's not called you you named it Who's wax?   Like I need to know who this wax is Yo, you know, I'm saying who is wax Well, if you get a spoon, you might get a little closer Nah, it's a fork Man, I put a couple of spoons on my balls.   I'm getting punished for it right now This makes it you remember on training day when the guy was trying to get out of his case And so the guy reached in his pants in front of the whole courtroom Pulled out peanut butter and licked his fingers This story would make total sense if people actually saw you putting the utensils on your balls Being that nobody saw you you was doing that for your own pleasure, bro You was doing that for your own freaky recreational purposes. Listen.   What's bro? No, it's not.  We thought that was Frank.       No, what what you have been saying for the last half hour is basically you want ways where guys can consume your Yeah, it wasn't guys like that.  We didn't make we didn't put Any words in your mouth bad, but I feel so bad because I don't know who to who had that spoon So it's like yo forget the spoon. You said you used to rub gum on your balls and then run to find dudes It wasn't trying to find dudes is people who was smoking. It could have been anybody smoking You see what I'm saying?    Finally. Well, I'm sorry for having y'all do that Well, don't be sorry. How do you know that they didn't know exactly what was going on like They was probably taking advantage of you. They're just hanging around like pretending to smoke going I think wax is going to have some gum on them today. Here come wax with the hubba bubble.  Oh, dude, this story has gotten completely completely flipped, bro This is completely flipped. They were taking advantage of you.  Where's wax? I say the pranks kind of went too far. The pranks definitely went too far They were pranking you as pranks too. No, not like they were pranking you wax this whole time. They were pranking you man That's right. They knew exactly what was going on.  And I they all They lining up They would see we know exactly where to go Yeah, they were waiting for you, bro waiting on you and they would wait for you to go up the stairs So it's nice and sweaty. They want you to work up a little ladder They want a nice little ladder All that flavor for themself, bro Probably was guys waiting around after football practice like man, I hope wax show them got some of that gum It wasn't it was just people.   Believe it or not It was the green pack. What's the green pack wrigglies. No no experiment No, it was wrigglies the green and white pack.  That wasn't cool.   You're just a chef Like there's a lot of There's a lot of people out there that they want to put their creations in people's mouths And that's who all you are.  Yeah, that's that type of type of gum I never even ate it. Oh in big red. We used to always get the big red gum too So big red never touched ever and in silverware. I won't ever touch that. Yo What if he had a light skinned dude his size and that used to do the same exact thing wax did Rub the gum on his balls. You want to taste some of this big red? It's a sad man. This is sad and I'm telling you this is how People come back to haunt you.     That would be the maximum amount depending on how much youtube views they got If they did a social media stunt now The teacher three stacks the teacher wasn't sure he wanted to be a man Right. He was like, I don't think I want to be a man. I want to be a woman He let his boy who's the rapper do a homemade Surgical reassignment surgery on him on youtube So this rapper takes a 12 inch knife Cuts off his friends Penis they say he was friends. They are friends. They did it on purpose They had a plan together. He was trying to help his Spanish rapping friend go viral And he didn't know if he wanted to be a guy anymore. They literally did it all for social media attention Yeah, because I ain't got no friends. I want to cut hold on. What what is this?  Yeah, he's still alive What are you peeing at his pee probably backed up Yo, that's a good point. Where do they pee? What are you peeing at?   That's the problem.    I guess so I mean that is absolutely mind-boggling. Yeah, but that's the world that we live in I'm saying all that to say these are the people that Folks seek validation from on social media Like you have people who wake up every day and they go on social media and let social media think for them So it might be a topic right but instead of formulating their own opinion on the topic They go and they see what the popular opinion is and they let that popular opinion dictate What it is they think about a situation.   Let's pay some bills. Give me the ad. All right. Let's power this this power This down and pay some bills. 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Okay.  Hello fresh america's number one meal kit now Let's get back to the show you got any church announcement shows. Yeah, um We're going on tour man, and uh, I just want to say thank you for selling out most of the shows I think we only have a couple cities left That haven't sold out yet, but uh, I'll be in a cell lake city this weekend that's sold out Then we have columbus sold out nashville sold out. Atlanta sold out raleigh sold out, uh palm beach There's a few tickets left phoenix arizona a few tickets left and then tampa bay a few tickets left and then um We're gonna be announcing more cities later maybe in the next couple weeks, but thank you guys so much man This has been just been awesome, and it's so much fun to get back out there and do stand up again, bro I just It was you know what's so interesting, man. Um, you know, I watched uh I'm watching everything.   Atlanta's out of control. You can't tell me that land is worse than miami. Yes Now land has been on the low because we think florida's always so crazy. We shut down miami wide open right now No miami's been wide open. Miami.  I mean people. I know a lot of people going pussy What have the all-star game with no fans? They shouldn't even be having the game They're gonna be in the streets.  They got to cut down shut down every single game Until you can bring all the people back in it's really not worth it I actually respect the fact that players can go out there and really just focus But I guess they've been like that because it's not like they're focusing on fans anyway when they're playing You know what I mean? Yeah, they're not stand-up comics, bro. It's not like they need the audience If anything, it's not like they need the audience. No, you want the audience? That's true Listen, my church announcements is simple. Uh salute to everybody that's listening to all the various podcasts on the black effect Podcast network and make sure you pre-order to mika mallory's book state of emergency How to win in the country we built it'll be out may 11th on black privilege simon and shoestre publishing and make sure you pick up Anita co-packs shallow waters Okay, which will be out august 3rd via black privilege simon and shoestre publishing, you know Anita had hit um number one on the amazon Adult, I think it's a young young adult fiction fantasy fantasy Fantasy charts because you know Young adult fiction fantasy is a big genre that you know A lot of black people don't tap into So, you know the fact that Anita, you know co-packs is tapping into it with shallow waters and presenting this story of the African mermaid yemiya, you know, it's it's a it's a pretty big deal. So yeah go pre-order those books Available wherever you buy books. Okay amazon barns and nobles all that good stuff And i'ma tell you something man. This is my this is my only problem with america. We know america is a business Simple we know that america is a motherfucking business. It's not a goddamn country.    Her job is to care about the people dying his job Is to care about the economy But you know why it makes no sense shots why?    I'm saying they could dispose of corona. They're like, oh people don't have disposable income. They just disposable Disposable no, they ordered a lot.   I love that guy that guy's brilliant Which one? Yo wheels bro. That's what they call him Who who is wheels the governor of texas? He's in a wheelchair. They call him wheels. No He's in a wheelchair. Yeah I didn't know he was in a wheelchair.  I had no idea he was in a goddamn wheelchair He's gonna win everything he can pity for everything. Well, I'm gonna be honest with you I don't like the way he rolls man.   Anyway, they old. Yeah Yeah, either one Listen, I you know, I know everybody in life has a role to play But I don't like the role that the governor of Texas is playing right now, bro You know what I mean?    You're not gonna care. Yeah, you got to get the economy rolling again Look, you're not gonna care about just one thing, right? There's a whole bunch of ingredients in this casserole that we call a country It's definitely a casserole. It is Right and and we have to consider that the economy is one of those ingredients That's just one of those things you got to be concerned about those people Yeah, I just think it's other ways to get the economy rolling You know what I'm saying?  I'm not I'm not saying we got I'm not saying we got to lock it down Right, but I think we should treat it like parole.  There's stipulations. There's still some rules. You have to follow when you're on parole Yes, you know what I mean got going a house certain time of day.  The roll call definitely a great idea. The roll call is a really good idea I think I mean personally, I think so I think so listen, man I if if we can switch topics I I I'm thinking about getting the rolls Royce, bro I I'm thinking about it, bro. I'm thinking about getting that rolls Royce man.  Oh my god.  I couldn't even walk afterwards Really Man, you know how I love man. I love watching basketball I love when a team passes like 10 times. Yeah, and then somebody just ends in a dunk. Yeah I just love it, man.  Someone grab wax a spoon Thank god we moved on I ran out of roll words, bro I was running low. Yeah, I was on a roll for real. I was about to do a little roll reversal. You know what I'm saying and just You had me with parole parole was good Listen, uh will Smith considering running for political office. Wow Wow For what I don't want it people listen to him. No, I don't want it I don't want it. No more celebrity in chiefs. No more.  How are you talking?  Yeah, how you want to control it? No, I'm just saying that's what people would think No, no, you think that is me. Everyone else does Well, that's what people would think the reason why then why then why wouldn't they want to be him the um when then? Yeah, why does it matter if she didn't why why do you what now? All I'm saying is all I'm saying is president united states is not a role. I'd like to see will smith I agree with you wholeheartedly. I think he'd be cool.   Now anybody can do it. It's the bar. It's bar. I know you're still thinking about putting that goddamn school But it's bar waxes lord the bar bar Bar no ball bounces look it go higher and go low too.     Y'all was too young.    I just knew it was the old president that was dead Nah, you never thought it was presidents. You told me you thought that was the owner of the jets You said it was the San Diego Padres I know it was dead presence because of dead presence the movie But I never even thought about it when I was young I look at money as passes It's just a pass to get through the next door.  I don't know who's on the hundred dollar bill people say, uh, who's on the hundred dollar bill Um, benjamin, right? Yep.  Do you know what benjamin franklin did have no idea What he did what he did uh, microwave or something? Nah, he was the first person to work in a diner and rub um spoons on his balls He should actually be a hero to you.   He didn't give heads. He got head. He did the towers obama black and trump wild who did the towers? bush What do you mean he did them you think he he brought them down?    What are you talking about?  He was performing This is crazy.   I ain't getting vaccinated. I'm trying to stay out the way I'm okay. Listen, everybody else get it.     I don't do that You used to that's back in the day wax is giving many a woman a yeast infection.   It was like those guys just breezed by that Like it was nothing man, nothing so much like what happened man nothing I bet you didn't even clean out the cona.  Did you hear about the uh the guy who got killed by a cock?     This one was the most recent one Yes, wow But now it's happened.   What are we doing?  Yeah, we're gonna get eaten regardless.  You don't think the chickens is acting You don't think the chickens is have communicating with each other No, or he ran a fair or he must have ran in fair What do you mean? He knew the other chickens about to kick his ass He probably went to his owner and tried to jump up on them and probably slice his neck Maybe maybe that could that could have happened too. Where'd you get this story?   What do you are you reading like a newspaper? Uh, I don't know why this came across. I don't know man.       All right, let's stop and pay some bills man. 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I'm gonna be on bill mar 2 on friday by the way Yeah, so y'all check that out. I'm gonna be on bill mar on friday. All right. What we got?  I don't even know what that means I saw people saying that instagram accidentally hit likes for more users. I don't why did that matter? People were saying like oh now the influence is not gonna make money But that's not true though because influences make money off their impressions like that's what people really care about I know i'm just saying what I saw people were just making it I thought it was I definitely thought it was because of numbers Now you go to your and I mean that's numbers though you go to your analytics and your analytics It shows you that's still gonna be there though. You could still Okay, you could still see how many people liked it.   Yeah, I don't really care And then again, maybe if I post some shit and I want to know how well it does that would bother me But I think you can also tell from comments Oh the comments ain't going it's gonna have you had a comment to the best part Yeah, so you could tell from there and then people just gear it towards comments But that's all it is people feeling economic insecurity. They're like is how I validate myself. How can I prove to brands?   You want to know about your likes?    Why am I spending the majority of my time on instagram if I got You know a half a million followers on only fans and I'm getting motherfucking paid.  Hold on now What what what is her instagram? I don't know what her instagram is your fiance now. You can't look her only fans is bella features. It's just feet Is it cheating if it's looking at feet if you're interested in it really I don't even think feet are considered sexual. Like what are you doing feet teeth titties and toes? Oh, you do have a foot fetish. I love some feet, bro.  I just think it looks pretty Same thing with like eyes.  That's actually got some straight dogs in her feet. You be like, uh, um Yeah, it takes a while to get there, but he'll eventually say something that makes sense. I got you back bella feet You see her I'm looking for it Did you google her bella's feet diary? That yeah, that sounds about right Okay, I'm on it. Yeah, she got some nice steppers Really, what do you look for in nice feet? I mean There is a little concern I have here that she has second toe longer, but she has got a nice toe length Um, I don't like second toe longer and it looks like it might be but she's hiding it well Um The nail is nicely shaped You got a good shape to the nail Good color choice for the nail a nice arch to the foot. Yeah, she's got a decent set of feet right here I don't know what y'all seeing them, bro. Actually second and third toe are Equally equally as long as the first and potentially could be longer. So I have an issue We're gonna have to give some pushback here. Yeah, I retract earlier statement second and third toe too long. Sorry Nice arch. You can't look at them. I'm good. Nice arch Nice arch Yeah, we're looking at something pretty deast over here, dude. You know, um Yeah, yeah pretty deast pretty deast.     He practices mindfulness and I just you know I think we got to keep having more conversations like that.  Yeah, I started going to therapy though. I went to therapy a couple of times. What? Yeah, I mean, I went to Carla. We went to a couple therapy But it helped me out. What'd you learn about yourself?   I mean when you got a good girl when you got somebody that's that that that's leading you the right way Yeah, just shut up and listen and see what's up in there if anything goes wrong blame it all on her I don't know how healthy that is though because you don't want to be dependent like you still have to find Of course, I got I got the base, you know, I'm saying like the man get the house and want me to do the inside That's just basically the same thing with the relationship Yeah, I mean if things don't work out you still got to be able to maintain on your own Yeah, yeah, I mean certain things I I'm never going to do. I'm not gonna wash my clothes and feed myself ever But why do you feel that way again? Feel that way that you're not gonna do that because I was bought up not doing that My mind goes crazy if I do it.    I'm like man. Ain't no way, but don't you like clean stuff on your ocd Why do I make you want to play with that?    I don't care how many pumps it was one is one too many All right.  What else we got there?  She just put too much. She should have listened to her boyfriend and just put a dab of ranch That's all Andrew do you put any you have any food like weird food combinations? No, actually, you know what I've been eating lately.  What's this date? What is that? Not exactly sure That's not like wifey talking it is wifey talking.    They love ranch new york.  I put ranch on my spaghetti, but I don't do it I don't do like what she did. I put it on a salad, right? And I always eat salad with spaghetti. So when it's all my salad, I mix it all together You know what I mean?   I love it all the time I love it. I love it. I think it's a country thing because they always put you get Exactly what wax said is true. They put everything on the same plate. So yeah, so then you just eat it Nah, they put your string beans on the same plate with spaghetti. They put your corn on the same That doesn't mean that you have to mix it up, but you gotta mash it together Exactly, you don't have to mix it up. I did the spaghetti yams in salad man. I did those spaghetti and yams That's disgusting. How would you even get yams if you get it together?  Nobody made spaghetti and yams together That you mean I put it all in one plate No, so anything that's on one plate y'all feel like y'all have to mix it up? I put it it's all going in one spot. So put it together. I'm like this anyway You know how you know America loves ranch though. We don't think about it Doritos, bruh. Oh cooler ranch, bruh.  That's fact. I'm not getting caught with a cool ranch It's called cooler ranch. Not just cool cooler Wax it imagine getting caught with a cool ranch, it's wrong Don't even say if you're the blood. You don't say you get caught with a cool ranch bag No, you're right. You're right.  No, there's nothing to respond to. What's that to respond to? I keep telling y'all that's a silly question. It's like Tyrese's wife speaks on being with a celebrity. I don't think it's with celebrities That's all I still have But there's no other that's the that is very specific like how do women feel about dating celebrities How many women have really dated a real life celebrity?  Like actual real life celebrities.  What were the other names you came out with? That's from brandon lee acting. I don't know if we have other names Did we ever have other names for brilliant idiots? We had a couple now. I'm forgetting what they were.     Wow. Boom done Lots been loaded. You got to pay attention to life Like I promise you whatever answer you're looking for in life I know this is this is a message to all creative imaginative people Whatever answer you're looking for in life.  You weren't even thinking about places. You weren't even looking That's why when I'm ever in the process of thinking about like a title or An idea or something.   You never know Give us another one Taylor. I was looking at this one knock one How many women would Jesus have if he was still alive? How many women would Jesus have if he was still alive? I mean Exactly. Yeah one. None. We sell a bit He was I mean, that's not what they showed him family guy In light oh god in light of history Jesus ain't had no women. Yeah, he was chilling. Nah, he and Mary Magdalene. He was hanging out with sluts Yeah, but you know, that was him up around he she was cool.  He turned the whole into a housewife. Damn right his greatest transformation. That was his greatest miracle.  They didn't have condoms or nothing.   Yo Please Yo chiefs, I got a little chlamydia over here.  Yo, Jesus made Mary Magdalene a version again.  That was the first doctor Jesus reset Mary Magdalene's body count, bro. He really did he's like Miles back that man is a real miracle worker.  Jesus. You know our heart. Okay. Don't judge us for this every time I talk about Jesus. I feel bad Why he made you bro.  He made you have these jokes, man That's on him. You know, he made He did you right. He gave you these jokes. He gave you these thoughts. He gave you everything bro So slang them jokes at his best friend who was a hooker. Honestly, Jesus might have just gave us He might have just blessed us with some more miracles Because he's like finally somebody giving me credit for my greatest one Finally they really think I walked I didn't walk on no water I bought this wine with me Oh But you I absolutely Got your life together, man. Let's go man. That's a jesus, bro They don't like to talk about that in church at all, man What?   Listen as always if you listed this podcast you think we're smart. You think we're intelligent You think we're brilliant.   Thank you for listening


The codependency comes in because at a very deep level, the deceived mind is looking for completion in that other person, and it can't succeed. The whole thing is set up from the word go. It can't succeed in that extent because it can seem to succeed for certain periods of time. That's what's so sneaky about it, where you seem to have it all, you know, according to the world standards. You seem to have a good career, you seem to have a loving spouse, and everything that you think you've ever wanted and everything, and all of a sudden you have hit these periods where you feel like life is meaningless, and the wheel is falling off, and wait a minute, I just had, I just had it all. You get everything, you know, you have nothing. And it's like there's that mirage again, you have a mirage of having everything. But in a way it's like the ego is staying in there, you know, it's a cruel, vicious world. Never mind that it's just a world, and I just see, I just perceive exactly what I think I want to find, whatever I selectively choose in the world, which is the fact of it. So the ego says it's a cruel, vicious world out there. People are out there to get you. You have the government, and the IRS, and you've got people that are always treating you better, work or are here or there, and if you can find a haven, if you can just find that one person, if it's just one person or a couple people, that you can always talk to, and it won't beat you up, and it won't attack you and everything, then build your home, build your security on that relationship with that other person. And so it's like we have our basket and our emotional eggs, and we start saying, this is it, this is the haven that we'll do it, and we go click, click, we start putting our investments and everything on the life we're going to live together and how it's going to be. We keep loading them in and building this up and everything. And then invariably, they seem to leave, they seem to die, they seem to get sick, they seem to be going through trauma, and we're so emotionally invested and co-dependent with them that we seem to go down the cesspool with them. And it's because, in the ultimate sense, it's been set up from the beginning that they've been set up as a God substitute. And there is no body, ever, that will serve as a God substitute. It's set up for the basket to drop. The ego is set to hang up. Now, the Holy Spirit says, okay, this is where you think you are, and they seem to be set up destructively, but I can bring a touch of heaven to them. I can bring a purpose, so that you can bring up that purpose that we've been talking about to that relationship. You can literally turn the relationship over to the Holy Spirit to say, I don't know where this is going to go, but I know I want this to be for the greater good, I want this to be for me waking up. And I have used this relationship, I have investments, I really have had this, I wanted this person to come out this way to make something more of themselves. I wanted to fix them, I thought I could change them, da-da-da-da-da.  I want you to help me unlearn the strings that I've attached to this relationship. The way I've wanted to use them to meet my needs, and to build me up. Because I felt unworthy, I've used them as a crutch. It's like idol worship, or even with people with heroes and stars. I'll attach my identity to this person or this ball player when I was a kid, I grew up with all these heroes and idols, you know, and it's like, they make me feel better. Just knowing that I was attaching myself to this other idol or whatever. It's like a quick fix, it doesn't last. The idol of the hero seems to be letting it down, but it's just our own perception. It's next up.  But it was very good for my growth and for teaching me where I had to invest in. And it really can seem like a very fast ride, and it can seem like a real accelerated undoing of the false belief when you hang into a relationship. And you give it over to the Holy Spirit. Because a lot of that repressed false ideas and beliefs that the mind hasn't wanted to look at start to come up. Yeah, that's what, I mean, I guess part of it is like, that's the purpose of me. You know, that's the thing that was interesting that I'm breathing down.  You know, when you both are put up against each other, the irritating each other is as much. And, you know, just all this stuff behind that.  I mean, that's really all that they really are. Accelerates that whole bringing to the light of the beliefs that we don't even know we have.  Right, yeah. But that's what their special makes you possibly take more of a look at it. I think so.  Yeah. They have a real charge. Yeah. Because it's something where you have a tremendous amount of care and so on, then you're willing to sort of hang in there more and take a look more at it. Yeah. And like you're reading Return to Love, you know, Mary Ann has a great way of putting it. She says, we're all coming here to learn how to love. And that's an interesting thing to think about it because, once again, the mind and the seed mind thinks it knows what tables and chairs are and also it thinks it knows what love is. You know, it's red books and it seems movies and it's had experiences and it's a very humbling fact when you come to say that there are different kinds of love. I mean, that's in the special relationship to it. But there seems to be in this world a brother and sister love and a love for the parents and a romantic love and a da da da da. There seems to be pretty good scales of love. Puppy love, the love for your pet and on and on and on. And basically the teaching of the Course is love is one and love can only look on itself and that you don't know in a deceased state of mind you don't know what love is. So to use Mary Ann's phrase, learning how to love or to use Jesus' phrase, learning how to become aware of the obstacles to love's presence that I constructed in my mind, that's the process of doing it. To the ego it's like, why do I, the ego would say why do I have these people in my life? Why do I keep attracting these people in my life? You know, it just pains to me.  I can kind of give you the metaphysics of what goes on behind that and that is that, I mean, some people would talk about where you'll see something and you'll see this person that is absolutely, we'll say sloppy. Just sloppy, sloppy, sloppy, just things uncaring, just lay things around, it's completely sloppy. And then people would say, now that's a mirror, right? And I'm seeing in them what's in me. I'm not sloppy. This is not worth forgetting what Jesus says. I'm neat and orderly and this person's sloppy and it's driving me nuts. And really what it is is the idea or the concept of sloppiness is, is once again a meaning that even just images on the screen and the mind interprets the behavior as sloppy. In other words, sloppy is a concept that's in the mind. It's like neat. So the mind has determined what the form looks like to be labeled sloppy. Right. Or what the form has to look like to be labeled orderly and neat and organized. Right. But it's something the mind decides it's on. Right. It's an arbitrary decision. It's an ego judgment. And of course, when we have sloppy and neat and everything, divine order is of course obscured. How can there be fusion or divine order when things could be better? In other words, it's not so much sloppy, but sloppy is not good. There's that connotation to it. Neat would be better. So in that sense, this is just bringing up an opportunity to look at my investment, perhaps, that in the order of things as opposed to the Christ, that when I'm upset as you because you're sloppy or whatever it's just like, I would rather hang on to the ordering in mind, say, I think the world should be and everything, than to see the Christ in you. It doesn't mean you don't communicate about it. There certainly is certain efficacy and efficiency to some organization. But it's like, you know, it's like, don't let the form obscure the context. When Helen dictated the course, Jesus dictated the course. She was very much into writing and things need to be a certain way and so on and so forth. Like you've mentioned, and she went nuts about, she was looking for consistency and form. And Jesus was always trying to comment the content. And I think part of the reason that he didn't put so much an emphasis on consistency here and there was that he was like, go for the content. Go for the change of your perception in your mind. Don't try to demand that it be consistent in form. Because she was looking for punctuation errors, as we've mentioned, and, you know, grammatical stuff. And really, that was more for unconscious resistance. To his love, being projected out in the form of, you could do this better. So anytime I perceive something and I notice a rise inside of me, it may not mean that what I'm seeing out there is in behavior or form, is my behavior or form. But it does mean that what I see out there in behavior and form I have some judgment about. And I have some concept or belief in my mind about that. And that's the gift. You know, that's the wonderful thing about noticing it. It's like, oh, you know, it's like, that's another one for me to look at. What you're saying then is the whole point is to be moving to judgment. So that when I visit a friend of mine, for example, who has their house totally destroyed, you really have to just stick your way through. I have to reach a place where it doesn't bother me when I visit. And it's perfectly fine that I have to step through clothes and books and paper. And that will make it. That's why you're valuing being with that person more than being in an orderly environment. Otherwise, you wouldn't go see her. I really love the person. I have a lot of problems with the behavior. There are some, like my brother and my mother have similar kinds of behavior that are real difficult to accept. Well, I don't accept it. And I've always had a problem with this concept of, well, what you see in somebody else is what you are, the way you are. My brother is going to go to the mountains in Denver somewhere and he's going to build a ski lodge.   And he's now on his third divorce and he's got two children. You know, it just goes on and on. I mean, the way his life is, it's all fragmented and troubled and all this stuff. And it's just really hard to stand by and wish this person had more order in their life and you wish that you could see them being in a better place, you know, and more at peace and have things work for them. And he's forever getting himself into another bad marriage and another bad situation. You know, it's just very tough to stand by me alone. That's the key word wish, too. Because that's it. The ego is a wish. The ego is nothing more than a wish. I mean, I feel sorry for him, too. I feel sorry for God. You know, can he get a... I mean, why couldn't his third marriage work now? You know, what? Here's these two little dear children. And why can't they... His is finally... Something worked for them, you know. And that's blowing apart. That's your brother out there.  Now, what is my lesson in this? If I'm trying to heal my mind, how do I bring that back? Or what interpretation am I making? And really, beneath it all, is the wish that things would be different than they are. Yes, exactly. And the deeper you go into this, it's like it comes up in so many different forms, whether it's relationships or, you know, things around some homes or houses or everything. And the mind has this very deep-rooted wish that things would be different than they are. The judgment that things are not the way they should be. That things are acute. Expectation is the word we use a lot. Expectation, sure. And my sister is at a place in her marriage where I cannot believe this.  So the eschew out there.  But for my sister, who's a real down-to-earth responsible, sensible person, and she hasn't been able to have a child. And it's just kind of made her crazy. And she... So her husband hasn't been sent to tissues. And, you know, now she wants to leave him and just change her whole...


We demonstrate through numerical simulations that Anderson localization persists in a disordered one-dimensional potential with attractive particle interactions, and our analytical calculations accurately match the observed results using the time-evolving block decimation algorithm, allowing for simulation of the entire experiment including final measurements of atom positions. This article was authored by Dominique Deland, Christoph Sascha, Marcin Plotsian, and others.


So this lecture will be about dynamical mean field theory. That's an approximate method to solve lattice, correlated lattice systems. And that's in any type of mean field theory. The basic idea is to map the lattice problem to a single site effective problem, which in this case is a so-called quantum impurity problem. So the idea is to map the lattice to a self-consistently defined quantum impurity problem. So let us take as an example for the lattice problem the Hubbard model. So we have the single band Hubbard model. So this model describes electrons which hop around some lattice. I should wear two. Oh, I see. OK. OK. So here we have the lattice system. Electrons hop around this lattice with some hopping amplitude t. And they interact on each of these lattice sites with some repulsion energy u. So the Hamiltonian for this model looks as follows. We have the kinetic term, which describes this hopping between nearest neighbor sites. And then we have a local term, which describes the interactions on each site and also a chemical potential term. And now in this dynamical mean field theory, this lattice problem is mapped onto a single site model, which consists of one correlated site in an uncorrelated medium. So that's a so-called Anderson impurity model. So we have one site with interaction u. In principle, infinite bath of uncorrelated sites with some energy epsilon of k. And then there is a hopping or hybridization v of k between this interacting site and the bath. So the Hamiltonian looks as follows. Hybridization term, which describes this electronic exchange between the impurity and the bath. That's this term. Then we have a term describing the non-interacting bath. Then we have also a local term, which describes this impurity with the interaction u, which is the same as in the original lattice problem. And we also have a chemical potential term. So these A operators are for the bath and the C operators for this impurity. And now we optimize these parameters of the bath, these hybridization amplitudes and the energy levels of the bath in a self-consistent way, such that the bath somehow mimics the lattice environment. So that kind of the hopping of electrons from the impurity into this bath and maybe after some retardation back onto the impurity mimics process where an electron hops from a correlated site into the lattice and then after some excursion through the lattice returns to the original site. So that's the idea. So that's the strategy. So these parameters v of k and epsilon of k, these bath parameters, they are kind of the mean field in this approximation. And now we have to define a self-consistent scheme, which allows us to optimize these bath parameters in such a way that somehow the electrons which are sitting on this correlated impurity field to some extent as if they were part of the original correlated lattice problem. And so in order to enable this mapping, we have to do an approximation. So basically the approximation which allows us to do this mapping is the assumption of a local or momentum dependent self-energy for the lattice problem. So the self-energy is sort of the object which describes how interaction effects change the propagation of electrons in the solid. And of course a single site model can only sort of produce a local self-energy. And so if we make this kind of assumption that in the lattice system we have a local self-energy, then we can sort of map the lattice problem to the quantum impurity problem as I shall describe. So the essential approximation is this approximation that the Harvard model self-energy, which is in principle non-local, can be approximated by the self-energy of an impurity system, which is local, but still time-dependent because we can mimic retardation effects by this bath construction. And so in practice it's often useful to work with action rather than Hamiltonian. And that allows us to integrate out the bath degrees of freedom which are non-interacting and then just represent those bath degrees of freedom through a so-called hybridization function in the action. We just have a correlated site and this kind of hybridization function which describes how electrons hop from the impurity into the bath and after some retardation hop back onto the impurity. So the action then has the following explicit form. So that's the hybridization term which describes this hopping into the bath and back. And then we also have the local term which describes the interaction and chemical potential contribution. So that's the impurity action. And in this formulation now the self-consistency condition fixes this hybridization function. So now the mean field becomes this hybridization function. And this hybridization function can be written in terms of these epsilon and v parameters of the Hamiltonian formulation as follows. Delta in Matsubara frequency space. You can be expressed as follows. Hybridization squared divided by i omega n minus epsilon. So it's really only this combination of hybridization and bath energies which matter. So it's this object which we want to optimize. Equivalently to this we can define the Green's function of the non-interacting impurity which is sometimes called the Weiss Green's function because it's like the Weiss field in the generalization of the Weiss field in the static mean field theory. So that's the Green's function of the non-interacting impurity problem. And that's related to the hybridization function by this formula. So the two are equivalent. We can either work with delta or we can work with this curly G. And depending on the method one uses, one or the other is more convenient. So anyhow, in the end we now have to define a procedure which fixes us in a self-consistent manner, say this Weiss Green's function, G0 which now plays the role of the dynamical mean field. So this mean field is fixed by the following self-consistency loop. So we start from some impurity problem with a given Weiss field or hybridization function. We have some G0. Or equivalently we have some hybridization function. Then we need some numerical procedure to solve this impurity problem, which means we want to compute now the interacting Green's function and the self-energy of the impurity problem. So this numerical procedure is called an impurity solver. We are going to discuss one powerful technique to do this just in a few minutes. So now let's assume we have this method and that gives us now the impurity Green's function and the self-energy. Now we somehow have to connect this impurity calculation to our lattice calculation. And this we do through this dynamical mean field approximation, which I have already mentioned. So we now pretend for the moment that this self-energy is a good approximation of our lattice self-energy. So in the end we want to optimize the bath in such a way that this is true. But let's assume it's the case. We can approximate our lattice self-energy by this impurity self-energy, which in particular means that we have to neglect the momentum dependence or the non-local contributions of this self-energy. And now we have some lattice self-energy, and with this we can compute the lattice Green's function as follows. So here in principle we would have the lattice self-energy but now we replace it by the impurity self-energy and that this gives us now a momentum dependent lattice Green's function, where the momentum dependence comes only from the non-interacting dispersion in this case. And given this momentum dependent lattice Green's function we can average our momentum to get the local lattice Green's function. We have the local lattice Green's function and we somehow have to go back to the impurity side and now we impose the self-consistency condition of dynamical mean field theory, which is that the local lattice Green's function and the impurity Green's function should be the same, which means that we now try to optimize the impurity system in such a way that the impurity Green's function gives us the local lattice Green's function. That's the goal of the whole self-consistent procedure. And this we can use now to define a new twice Green's function because we have a Dyson equation for the impurity problem and so we can use now this new estimate for the impurity Green's function, which we have obtained through this momentum averaging and the old self-energy for the impurity to get the new above Green's function just by this usual formula. And here in this calculation the self-energy comes from the previous step from here and the lattice Green's function has been updated here from this loop. And with this we can now continue. We have a new approximation for the vice field. We solve the impurity problem. We go through this loop a couple of times until this calculation converges. Yes, this? How I get it? This is... Well, first I compute this by some numerical procedure. That's not easy, so we will discuss how one can do this. And then we use... This is the non-interacting tree. This is the imp... No, no, no. This is sort of something equivalent to G zero. We have to compute it. This is to be computed as G zero minus one minus G, but that's sort of a non-trivial calculation how to get this. That's right, so that's what we will discuss next. So how to get the Green's function or any other type of observable for a given, say, hybridization function or vice Green's function. So there are many different techniques. I will not try to give an overview of all these different techniques, which exist. I will just describe one, which is very powerful, and that's Monte Carlo technique, based on a diagrammatic sort of expansion in the hybridization term. And that's called hybridization expansion. And because we will work in this method with the hybridization function, I will write the impurity model in terms of the hybridization function. And so the idea, which I just sketched, is to expand the partition function, which we can write as follows. We have some trace over the time-ordered exponential e to the minus s impurity. That's our partition function. This can be expanded in powers of the hybridization term, which is contained in this impurity function. And then we view the diagrams, which we obtain from this expansion as our Monte Carlo configurations and then implement the stochastic procedure to generate all these configurations. And once we know how to generate all these diagrammatic contributions, we just have to measure the contribution of each of these diagrams to the observable of interests, such as the Green's function or any type of observable. And in order to keep the discussion simple, we will first consider the spinless case because for this hybridization expansion, the spinless case is not the trivial and it allows us to understand the main ideas. So we have an action of a non-interacting impurity coupled to some hybridization, which looks as follows, and we have a chemical potential term. And so now we write our partition function and expand it in powers of delta. Now we expand this into a power series and are now writing the nth order contribution. So from the power series of the exponential, we get 1 over n factorial and then a trace of a time-ordered product of pairs of creation and annihilation operators from these terms. And then we have a product of hybridization functions. That's the expression we get after expanding the partition function in this, in powers of delta. Yes, so this, sorry, here it's also missing. The chemical potential term remains in the exponent and we expand only in the first term here. And so each term gives us two time integrals over tau and the tau prime that you see here. And the pair of creation and annihilation operators at these times, these are these pairs here. And then also a hybridization function whose time argument is the difference between tau and tau prime. So here we have n and such factors. And now we have basically what we need from Monte Carlo algorithm, namely here we have some kind of sum over configurations. So this is kind of a sum over configurations C where our configuration is just a collection of time points on the imaginary time interval. And here on the right we have the weight of this configuration. That's the weight, our weight WC. And so if we know the configuration space and the weight of the configurations we can use standard Monte Carlo techniques in order to generate all these configurations according to this weight. We'll have a bit closer look at these weights, what this is, how we can diagrammatically represent these weights. So let's look at the first auto diagram. No, sorry, zero auto diagram first. So this trace here, if we have no creation and annihilation operators, it has two contributions, one for the empty and one for the occupied impurity state. So we have sort of two diagrams which I can plot like this and like this. So this would be an imaginary time interval from zero to beta. This dashed line represents an empty state and this full line represents an occupied state. So here we have sort of zero electrons on the impurity and here we have one electron on the impurity. And so this gets as a weight, well, what is the weight? The weight is basically now coming from this chemical potential term here and if we don't have any electrons, then it's just one, so e to the zero is one. And here we have an electron on the impurity, so this gives us e to the nu times beta. So these are the weights of these two contributions and that's all we have at order zero in the hybridization. Now let's look at the order one diagram. So now we have one creation and one annihilation operator. We have a C dagger and a C operator and we have a hybridization line connecting these two, which I draw like this. Yes, so each hybridization function comes with a C and a C dagger operator. So it means that here an electron is annihilated on the impurity, so it hops into the bath, then it propagates in the bath and it comes back, it hops back onto the impurity at time tau prime and that's represented here. So basically now we have occupied impurity in this time interval, so basically the picture is that the electron hops in at this time, stays on the impurity up to this time and hops out. So that's more or less the meaning of this. And so what is the weight here? So if this is tau one and this is tau one prime, then this line here is e to the mu tau one prime minus tau one. So just the length of this segment here. And then we have a hybridization function which comes tau one minus tau one prime. So the total weight of this contribution is just the product of this exponential factor and this hybridization function. That's now one diagram in the order one space and of course we can now integrate all possible positions of these C dagger and C operators. So this is the C operator and these positions are integrated over. Here we have an integral and that will generate all the first order configurations. And then we can go to the second order configuration which we can graphically represent like a collection of two such segments. You can imagine we now insert two creation and annihilation operator pairs like this. They are somehow connected by hybridization functions that would be in our order delta squared contribution and so forth. Yes, you are right. But that corresponds to a different ordering of the C dagger and C. So in principle you have to integrate, I mean they can be at arbitrary places on this interval. So the other contribution which you mentioned that would correspond to one like this but of where the creation operator comes after the annihilation operator. But at this stage all possible positions are integrated over. Yes, now one point one can realize is that if we have more than one pair of operators there are different ways in which we can connect these operators by hybridization lines. I just showed one possible connection but there are other possibilities. We can connect creation and annihilation operators by hybridization lines. In total there are n factorial ways in which we can connect these and it turns out we can sum up all these n factorial contributions into some determinant. Maybe we should show this explicitly for the simple case of n equal 2. So here we have two possibilities. One is this diagram which I have already sketched. So say this is some length L1. This is length L2. And this is tau 1, tau 1 prime, tau 2, tau 2 prime. Then this diagram has the following weight. We have minus 1 squared coming just from the each hybridization function comes with minus sign. That's just this. And then we have a chemical potential contribution which is determined by the length of these segments. So e to the mu L1 plus L2. And then we have a product of two hybridization functions with the following time argument. That's the weight for this configuration. But there is a different second configuration which has exactly the same operator positions. That's d tau to the power of 4. So in principle this infinitesimals should also be considered part of the weight. In principle this, anyhow, it's not important for the following but in principle this is part of the weight of the configuration. So the second way we can connect this creation and annihilation operators is this. And also connect them like this. And that gives a different weight, namely the following, minus 1 to the power of 2 from the expansion at second order. And then we have a second minus 1 from this time ordering operator because now if the arrow goes into the opposite direction it means we have to somehow exchange a pair of creation and annihilation operators and that will give us a minus sign from the time ordering. So that is from time ordering. And then we have exactly the same contribution from the segments because the segments are the same. And then a different combination of hybridization functions. So now we have delta of tau 1 minus tau 2 prime times delta of tau 2 minus tau 1 prime. And now we can combine these two if we want as follows. And write this as minus 1 squared e to the mu L1 plus L2. And now determinant of a 2 by 2 matrix and the following matrix. So this contribution will give us the first term where we have the product delta tau 1 minus tau 1 prime of tau 2 minus tau 2 prime. And then we have another term which corresponds here now to the off diagonal elements delta tau 2 minus tau 1 prime delta tau 1 minus tau 2 prime. And now we have also the infinitesimal tau 2 to the 4. And I think you now already guess what is the general structure if we have n segments. We can just add all n factorial diagrams up into a determinant which generalizes this structure here. And now the algorithm becomes very nice because we can now forget about the hybridization functions. They are taken care of by this determinant and we can only focus on the time sequence of operators. So in other words, we can only draw these segments and then a collection of segments implicitly defines the determinant if we think of summing up all the different diagrams that we can obtain by connecting these segments by hybridization functions in all possible ways. So we really only have to think about the sequence of operators for this segment structure and the weight is then proportional to just this exponential factor with chemical potential times the total length of the segments, which I write as length of segments, and then a determinant of matrix which I call delta and that's sort of the hybridization matrix which is implicitly defined through the sequence of operators as I explained here for the two orbital case. So we can simply represent such a configuration by some arbitrary collection of these segments. Looks like this. And now we know the weight for such a configuration and you can easily guess how we sample such a configuration. We can now just think of a procedure of randomly inserting one of these segments, randomly removing another segment and that's how we can sample the entire space of such configurations according to this weight. This would then be tau one. OK, so this was the non-interacting case. Now, how do we treat interacting impurities? So that's very simple. Once we have this segment picture, we consider the Anderson impurity model with interacting spins. Now we have just one segment configuration for each spin and the hybridization determinant for each spin and the interaction contribution will be given by the overlaps of these segments for up and down spin. So let's make a picture. So we now have one time interval for up, one time interval for down and some segment contribution or configuration for up. Let's say this one and another one, for example like this, for down. So I mean these segments, they now indicate the time intervals where an up electron is on the impurity and where a down electron is on the impurity. That means the interaction happens when both up and down electrons are on the impurity so it corresponds to the time interval where we have overlaps between these segments. So it's this kind of time which met us for the interaction. So let's call this L overlap.  And the chemical potential contribution will just be given by the length of the segment, so length for the up and length for the down segment. So we have that the weight is essentially given by this chemical potential contribution which is chemical potential times length for up segments, length for down segments, then minus the interaction contribution U times length of the overlaps and then a hybridization matrix determinant for the spin up and the hybridization determinant for spin down. So that's now the structure for the interacting problem. So it gives a very simple intuitive representation for what such configuration means. It really means an down electron hops in here, up electron hops in here, then we have two electrons on the side, they interact, then the down electron hops out, we have only singly occupied side and then the up electron hops out. And this also gives us very easy way to measure, for example, double occupation. It's just the average length of these overlaps in our configurations, but the occupation is just the average length of the segments and so forth. Green's functions are a little bit more complicated to measure. Maybe I'm not going to describe how we measure the Green's function but basically what one has to do is one has to remove one of the hybridization lines and then one has a C dagger and a C operator in the configuration and that's a Green's function configuration and one then measures those contributions. But that's a little bit technical so I will not go into this. But anyhow, so this is one technique which allows us to solve impurity problems numerically in a rather efficient way. So in the last half hour I want to discuss a little bit the problem of dynamical screening and what this interaction parameter in the Hubbard model really means and how we should properly define it if we want to simulate the material. Basically we have the problem of defining or calculating the Hubbard U in quotes for a low energy effective model for some complicated material. So we will consider a typical case where we have one narrow band, say a D band near the Fermi energy which is separated from other bands which we can assume to be more weakly correlated. So the situation is the following we have here our Fermi level we have some D band near the Fermi level and we have some other bands called screening bands near the high energies. So now we can partition energy space into a low energy window and a high energy window like this. We have here our low energy window which spans this or contains this single band near the Fermi energy and we have a high energy space which sort of contains the bands which are further away from the Fermi energy. So this is sort of the high energy subspace which I call H. So this is now considered high energy subspace because we are interested in how far the energy is from the Fermi energy and then we have the low energy subspace. So these are the occupied states and ultimately we want to now define a kind of Hubbard type model for this low energy subspace from a kind of up-in-issue calculation. Calculate this interaction we have to compute now the polarization of the system because the polarization tells us how the bare interaction is screened and gives us sort of the screened interaction which is relevant for the definition of this low energy model. Now the idea is that we separate the polarization into contributions which are associated only with the low energy subspace and into contributions which involve the high energy subspace. The contribution from the low energy subspace we call P L and the rest contribution from everything else which is not from the low energy subspace is called P H. Contributions involving somehow the high energy subspace so we have these two contributions from the low energy subspace and from everything else. Now the fully screened interaction is basically the bare interaction screened by this full polarization P. The fully screened interaction W kind of Dyson equation which relates the bare interaction V and the screened interaction W and the kind of self-energy in this equation is the polarization. And this we can re-express in the following form. So now what is P L and P H? Somehow we can represent this graphically in this picture. The low energy polarization has to do with transitions within the low energy subspace something like this. Whereas the high energy polarization is everything else so that includes transitions from occupied states in the high energy subspace into the low energy subspace like this or from the occupied states in the low energy subspace to empty states in the high energy subspace like this or of course also transitions from occupied high energy states to unoccupied high energy states. So this is all part of P H and this is part of P L. Now the point is that these polarization effects these kind of transitions they should be properly taken care of in our solution of the impurity model. If we believe that within dynamical mean field theory we can obtain a rather good description of the low energy physics so we should capture all these low energy polarization effects in our DMFT calculation. So it means that this polarization should not be considered in the definition of the Haber-Dieu otherwise we would sort of double count the polarization effects. So we have to remove this low energy polarization and only define our Haber-Dieu by considering the high energy polarization. So that's why we now introduce the so-called partially screened interaction. So we define this so-called partially screened interaction W H where we only screen the bear interaction V with the high energy polarization. I want to write it differently and you can do a little calculation using this relation and the definition of the fully screened interaction to show that this now implies that the fully screened interaction can be expressed as follows as 1 minus P minus W H P L minus 1 W H which means that the fully screened interaction is now obtained if we further screen the partially screened interaction by the low energy polarization and that is exactly what we want. We want to define our Haber-Dieu or our interaction in the low energy subspace in such a way that if we screen this interaction by the low energy polarization we get the fully screened interaction. So that's the proper definition of the interaction in our low energy model. Then we have our correct definition of the interaction in the continuum and now we want to define the interaction in the Haber-Dieu model and for this we have to construct now localized Vanier type orbitals and then evaluate the matrix elements of this interaction in these localized Vanier orbitals and that's now our correct definition of the Haber-Dieu. So let's call this basis of localized orbitals phi as sort of the lattice index and then we have our definition of the Haber-Dieu which is the following integral of the space I of r squared and this partially screened interaction depends on r r prime and frequency phi i of r prime squared. So that's our Haber-Dieu and the interesting or the important thing here is that it is frequency dependent. So that comes from the fact that the polarization is frequency dependent. All these transitions which contribute to the screening they have a characteristic energy given for example by the energies between different bands and so this introduces a energy dependence into the polarization and if the polarization is energy dependent then also this partially screened interaction becomes energy dependent. So v is not energy dependent, that's a constant but this is now frequency dependent so w is also frequency dependent and so also our Haber-Dieu is frequency dependent. So the proper definition of the Haber-Dieu in a low energy effective model like this is a frequency dependent object which ranges from a very large value basically the bare interaction in the solid is very large for transition metals something like 20 electron volts and then it is screened by all these high energy bands down to a value of just a few electron volts in the static limit. So if we sketch this typical structure of the interaction it looks as follows this is our frequency axis we start from a bare interaction which is relatively large and then, so this is the real part imaginary part would look something like this and there's usually a big peak corresponding to the so-called Plasmon frequency and so above this Plasmon frequency screening is not effective anymore and the interaction is approaching the bare interaction value but below this Plasmon frequency the interaction is strongly reduced and so that's our partially screened interaction where we have not taken into account the low energy screening from our transitions within the low energy subspace if we would also include this that would be down here somewhere a second sort of reduction of the screening and that would then be the fully screened interaction W but as I explained in the DMFT type calculation where we explicitly treat this low energy screening we don't have to take this polarization into account in the calculation of U and we should really use this partially screened interaction which removes the polarization which does not include the polarization of the low energy space so this W includes so now one further comment is that these formulas which I had on the board are the relation between screened interaction, bare interaction and polarization and so forth these are exact as long as we calculate the polarization exactly but in practice we are not able to calculate these polarizations exactly so we use some approximations typically random phase approximation to calculate the pH the high energy polarization and this scheme is called constrained random phase approximation CRPA that's one of the standard methods nowadays to compute these interaction effects and so you may wonder why is it okay to calculate the polarization in the random phase approximation so one argument which is typically given is precisely this that the low energy subspace is usually strongly correlated these are the D bands near the Fermi energy whereas the high energy subspace is more weakly correlated maybe S and P bands and so since we removed the low energy polarization anyhow we only sort of treat weakly correlated bands in the random phase approximations or maybe it's okay so that's sort of a general argument it's not so clear if this is actually true but it's basically in simple model setups to check if this kind of down folding is accurate and at least in these simple model setups which we checked it's not very good so there are some question marks and the last point I want to say is the following usually we know that in a metal for example the Coulomb interaction is short range because of low energy screening so we go from a long range Coulomb interaction to a short range maybe you cover type interaction thanks to the low energy screening which is given by this PL but now in this constrained random phase approximation we remove the low energy metallic screening so in principle the interaction again becomes quite long-ranged and so it's static that in practice we then simply use a Hubbard model description even though the interaction is not short-ranged and that's a major I think flaw in most calculations up to now that one really then just uses these parameters only the on-site terms whereas long-range couplings are not treated even though they are not small there may be a factor of too long but they are not negligible compared to the to the on-site terms and so tomorrow tomorrow I'm going to discuss two things first of all I will discuss how we can solve Hubbard type models with a frequency dependent interaction and I'm going to describe a formalism which is also based on dynamical mean field theory which can treat long-range Coulomb interactions that's a so-called extended dynamical mean field formalism and this is really then fundamentally dependent on our ability to treat these frequency dependent couplings because they are then somehow self-consistently updated if we treat these long-range screening from the from the long-range Coulomb interaction but that's what I'm going to discuss tomorrow so thank you for your attention