Proof of ultraviolet finiteness for a planar non-supersymmetric Yang–Mills theory

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 ultraviolet finite to all orders in light-cone perturbation theory.