Quantum gauge symmetry from finite field dependent BRST transformations

TL;DR

This paper demonstrates that finite field dependent BRST transformations reveal the quantum gauge symmetry equivalence between massive and pure Yang-Mills theories, providing explicit transformations for invariance.

Contribution

It introduces a method to relate massive and pure Yang-Mills theories via finite field dependent BRST transformations, highlighting their quantum gauge symmetry equivalence.

Findings

Massive and pure Yang-Mills theories are quantum gauge equivalent.

Explicit infinitesimal BRST transformations for massive Yang-Mills are provided.

Finite field dependent BRST transformations unify different gauge theories.

Abstract

Using the technique of finite field dependent BRST transformations we show that the classical massive Yang-Mills theory and the pure Yang-Mills theory whose gauge symmetry is broken by a gauge fixing term are identical from the view point of quantum gauge symmetry. The explicit infinitesimal transformations which leave the massive Yang-Mills theory BRST invariant are given.