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

TL;DR

This paper explores the use of light-cone gauge in SYM N=4 theory to identify divergence-free transverse fields and introduces 'bridge' identities that relate divergent fields to these transverse fields through exact identities.

Contribution

It presents a novel approach using light-cone gauge to simplify divergence analysis and introduces bridge identities for expressing divergent fields as composites of transverse fields.

Findings

Transverse fields in light-cone gauge are UV finite.

Bridge identities enable expressing divergent fields via transverse fields.

The approach simplifies divergence management in SYM N=4.

Abstract

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.