On the BRST and finite field dependent BRST of a model where vector and axial vector interaction get mixed up with different weight

TL;DR

This paper explores a lower-dimensional model with mixed vector and axial vector interactions, reformulating it using BRST symmetry and finite field dependent transformations to analyze gauge invariance and symmetry properties.

Contribution

It constructs a BRST invariant reformulation of a non-gauge symmetric model and demonstrates the transmutation between BRST symmetric and non-symmetric versions using finite field dependent BRST transformations.

Findings

Extra field becomes Wess-Zumino scalar with gauge fixing

Finite field dependent BRST transforms connect symmetric and non-symmetric models

Reformulation achieves gauge invariance in a non-gauge model

Abstract

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been made here to construct BRST invariant reformulation of this model using Batalin Fradlin and Vilkovisky formalism. It is found that the extra field needed to make it gauge invariant turns into Wess-Zumino scalar with appropriate choice of gauge fixing. An application of finite field dependent BRST and anti-BRST transformation is also made here in order to show the transmutation between the BRST symmetric and the usual non-symmetric version of the model.