The Pole Part of the 1PI Four-Point Function in Light-Cone Gauge Yang-Mills Theory

TL;DR

This paper computes the UV-divergent part of the one-loop four-point function in light-cone gauge Yang-Mills theory, demonstrating explicit renormalization consistent with gauge symmetry and nonlocal effects.

Contribution

It provides the first explicit calculation of the UV divergences and nonlocal renormalization in light-cone gauge Yang-Mills theory at one-loop level.

Findings

UV divergences explicitly calculated for the four-point function

Nonlocal terms are consistent with gauge symmetry

Renormalization is achieved through nonlocal wave function adjustments

Abstract

The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent contributions arising from each four-point Feynman diagram yield a succinct final result which contains nonlocal terms as expected. These nonlocal contributions are consistent with gauge symmetry, and correspond to a nonlocal renormalization of the wave function. Renormalization of Yang-Mills theory in the light-cone gauge is thus shown explicitly at the one-loop level.