Gauge invariant reformulation and BRST quantization of the nonconfining Schwinger model

TL;DR

This paper presents a gauge-invariant reformulation and BRST quantization of a generalized Schwinger model with broken gauge symmetry, restoring symmetry via phase space extension and deriving a BRST invariant action.

Contribution

It introduces a novel phase space extension to restore gauge symmetry and formulates a BRST invariant effective action for the generalized Schwinger model.

Findings

Gauge symmetry broken at quantum level is restored through phase space extension.

Equivalent first class theory is reformulated using Mitra and Rajaraman's prescription.

A BRST invariant effective action with Wess-Zumino scalar fields is derived.

Abstract

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored. Also an equivalent first class theory is reformulated in the actual phase space using Mitra and Rajaraman's prescription \cite{mr1,mr2}. A BRST invariant effective action is also formulated. The new dynamical fields introduced, turn into Wess-Zumino scalar.