Scalar fields are by definition invariant under these operations. In chiral theories, particles are sorted into left- and right-handed based on whether they belong to the fundamental or anti-fundamental representations of the group of these operations. These operations form a six-dimensional non-compact Lie group whose identity group is SO-plus-1-c
Scalar fields are by definition invariant under these operations. In chiral theories, particles are sorted into left- and right-handed based on whether they belong to the fundamental or anti-fundamental representations of the group of these operations. These operations form a six-dimensional non-compact Lie group whose identity group is SO-plus-1-comma-3. Maxwell's equations are invariant under these operations. These operations can be written as (*) four-by-four matrices in which the diagonal entries are either 1 or the hyperbolic cosine of phi. These operations can be visualized as hyperbolic rotations by the angle of the rapidity in Minkowski space, and in the limit of low speed the simply reduce to the Galilean transformations. For 10 points, name this operation which converts observations between two different frames of reference in special relativity.
Scalar fields are by definition invariant under these operations.