BRST symmetry as a mechanism for confinement in the inter gauge framework

TL;DR

This paper introduces a novel FFBRST transformation that links the Lorenz gauge theory of QCD to a massive gauge theory, providing a new perspective on confinement mechanisms through BRST symmetry.

Contribution

It proposes a unique FFBRST transformation connecting gauge-fixed and non-gauge-fixed theories, revealing a new non-perturbative confinement mechanism via BRST symmetry.

Findings

A new FFBRST transformation relates Lorenz gauge and massive gauge theories.

The transformation offers insights into confinement in gauge theories.

It demonstrates a non-perturbative role of BRST symmetry in confinement.

Abstract

The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents perturbative or deconfined phase of QCD to massive gauge theory. The exercise serves two purposes. First is of course that it is a distinct connection where one of the theories is not gauge fixed and BRST invariant therefore, it is expected to give newer insights into FFBRST technique itself. Second is that a particular case of this transformation holds a novel physical significance of acting as general mechanism for confinement across two different gauge theories. Thus, the present task identifies a profound non-perturbative implication of the BRST symmetry in a general setting.