When p ≪ ≪ Λ Λ , R Λ (p)/ p is essentially 1. When p ≫ ≫ Λ Λ , R Λ (p)/ p becomes very very huge and approaches infinity. R Λ (p)/ p is always greater than or equal to 1 and is smooth. Basically, this leaves the fluctuations with momenta less than the cutoff Λ unaffected but heavily suppresses contributions from fluctuations with momenta greater than the cutoff. This is obviously a huge improvement over Wilson.