The Quantization of Anomalous Gauge Field Theory

TL;DR

This paper examines the gauge invariant quantization of anomalous gauge theories, highlighting issues with path integral measures and proposing a method that introduces arbitrariness to develop diverse models of two-dimensional induced gravity.

Contribution

It identifies problems in applying BRST formalism to anomalous gauge theories and proposes a new quantization approach that allows for the construction of multiple non-equivalent models.

Findings

Path integral measure non-invariance complicates BRST quantization.

A new quantization method introduces arbitrariness for model building.

Potential to generate diverse two-dimensional gravity models.

Abstract

We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one tries to translate it to BRST formalism. The method by which we propose to get around of this problem introduces certain arbitrariness in the model. We speculate on the possibility of using such an arbitrariness to build series of non equivalent models of two dimensional induced gravity.