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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. Greenfunctions with external lines involving the remaining fields do instead exhibitdivergences: indeed those fields can be expressed, by solving their equationsof motion, as composite operators in terms of ``transverse'' fields. A set ofexact identities (bridge identities) automatically realize their insertions ina path-integral formulation.

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