Relating Gribov-Zwanziger theory to effective Yang-Mills theory

TL;DR

This paper demonstrates a connection between Gribov-Zwanziger theory and Yang-Mills theory using a finite field-dependent BRST transformation, revealing new insights into gauge theories.

Contribution

It introduces a finite field-dependent BRST transformation that relates Gribov-Zwanziger theory to standard Yang-Mills theory, expanding the understanding of gauge invariance.

Findings

GZ theory with horizon term maintains nilpotent BRST invariance.

FFBRST transformation relates GZ theory to YM theory at the generating functional level.

Provides a new method to connect different gauge theories through symmetry transformations.

Abstract

We consider the Gribov-Zwanziger (GZ) theory with appropriate horizon term which exhibits the nilpotent BRST invariance. This infinitesimal BRST transformation has been generalized by allowing the parameter to be finite and field dependent (FFBRST). By constructing appropriate finite field dependent parameter we show that the generating functional of GZ theory with horizon term is related to that of Yang-Mills (YM) theory through FFBRST transformation.