BRST Gauge Fixing and Regularization

TL;DR

This paper explores how BRST gauge fixing procedures need modifications at the quantum level when consistent regulators are used, with applications demonstrated in two-dimensional bosonization and Batalin-Vilkovisky formalism.

Contribution

It reveals quantum-level modifications required for BRST gauge fixing with regulators and derives smooth bosonization within the Batalin-Vilkovisky framework.

Findings

Quantum modifications affect gauge fixing procedures.

Application to two-dimensional bosonization.

Derivation of smooth bosonization in BV formalism.

Abstract

In the presence of consistent regulators, the standard procedure of BRST gauge fixing (or moving from one gauge to another) can require non-trivial modifications. These modifications occur at the quantum level, and gauges exist which are only well-defined when quantum mechanical modifications are correctly taken into account. We illustrate how this phenomenon manifests itself in the solvable case of two-dimensional bosonization in the path-integral formalism. As a by-product, we show how to derive smooth bosonization in Batalin-Vilkovisky Lagrangian BRST quantization.