Gauged supersymmetries in Yang-Mills theory

TL;DR

This paper uncovers new local Ward identities in Yang-Mills theory within a specific gauge, leading to simplified renormalization procedures and insights into supergauge transformations, even with a non-zero Curci-Ferrari mass.

Contribution

It introduces previously unknown local Ward identities in Yang-Mills theory, linking them to supergauge transformations and simplifying renormalization analysis.

Findings

New local Ward identities in Yang-Mills theory

Non-renormalization theorems derived from identities

Renormalization factors from two-point functions

Abstract

In this paper we show that Yang-Mills theory in the Curci-Ferrari-Delbourgo-Jarvis gauge admits some up to now unknown local linear Ward identities. These identities imply some non-renormalization theorems with practical simplifications for perturbation theory. We show in particular that all renormalization factors can be extracted from two-point functions. The Ward identities are shown to be related to supergauge transformations in the superfield formalism for Yang-Mills theory. The case of non-zero Curci-Ferrari mass is also addressed.