Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory

TL;DR

This paper proves that a specific non-supersymmetric deformation of N=4 Yang-Mills theory remains scale invariant and UV finite at all orders in the planar limit, despite breaking supersymmetry.

Contribution

It demonstrates the all-order ultraviolet finiteness of a non-supersymmetric, planar Yang-Mills theory through a rigorous proof in light-cone perturbation theory.

Findings

The deformed theory is scale invariant in the planar limit.

Green functions are ultraviolet finite to all orders.

Supersymmetry breaking does not compromise UV finiteness in this case.

Abstract

This paper focuses on a three-parameter deformation of N=4 Yang-Mills that breaks all the supersymmetry in the theory. We show that the resulting non-supersymmetric gauge theory is scale invariant, in the planar approximation, by proving that its Green functions are ultra-violet finite to all orders in light-cone perturbation theory.