BRST-BV quantization of gauge theories with global symmetries

TL;DR

This paper explores how global symmetries in gauge theories are affected during BRST-BV quantization, showing that they are deformed but preserved at the quantum level, especially in the one-loop approximation.

Contribution

It provides an explicit calculation of the deformed global symmetry transformations within the BRST-BV framework for gauge theories with non-anomalous global symmetries.

Findings

Global symmetries are deformed during quantization.

Quantum action remains invariant under deformed symmetries.

Explicit form of deformed transformations obtained at one-loop level.

Abstract

We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is quantized in the framework of BRST-BV approach in the form of functional integral over all fields of the configuration space. It is shown that the global symmetry transformations are deformed in the process of quantization and the full quantum action is invariant under such deformed global transformations in the configuration space. The deformed global transformations are calculated in an explicit form in the one-loop approximation.