SYM N=4 in light-cone gauge and the "bridge" identities

The light-cone gauge allows to single out a set of transverse'' fields (TF), whose Green functions are free from UV divergences in SYM N=4. Green functions with external lines involving the remaining fields do instead exhibit divergences: indeed those fields can be expressed, by solving their equations of motion, as composite operators in terms of transverse’’ fields. A set of exact identities (bridge identities) automatically realize their insertions in a path-integral formulation.