On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism

TL;DR

This paper localizes a nonlocal BRST invariance in the Gribov-Zwanziger formalism by introducing additional fields, resulting in a modified action with preserved correlation functions and a connection to standard Yang-Mills theory.

Contribution

It introduces a local BRST invariance into the Gribov-Zwanziger formalism through additional fields, maintaining original correlation functions.

Findings

Correlation functions remain unchanged with the modified action.

The formalism reduces to standard Yang-Mills theory when the Gribov mass vanishes.

A new local BRST invariance is established in the GZ framework.

Abstract

We localize a previously established nonlocal BRST invariance of the Gribov-Zwanziger (GZ) action by the introduction of additional fields. We obtain a modified GZ action with a corresponding local BRST invariance. We show that correlation functions of the original elementary GZ fields do not change upon evaluation with the modified partition function. We discuss that for vanishing Gribov mass, we are brought back to the original Yang-Mills theory with standard BRST invariance.