Finite Field-dependent Symmetry in Thirring Model

TL;DR

This paper explores a finite field-dependent symmetry in a higher-dimensional Thirring model, deriving an extended BRST symmetry, analyzing its Jacobian, and demonstrating gauge mappings within the Batalin-Vilkovisky formalism.

Contribution

It introduces an extended BRST symmetry with finite field dependence in the Thirring model and examines its implications for gauge transformations and the BV framework.

Findings

Jacobian extends the BRST exact part of the action

Mapping between different gauges demonstrated

Results discussed within Batalin-Vilkovisky formalism

Abstract

In this paper, we consider a $D$-dimensional massive Thirring model with ($2<D<4$). We derive an extended BRST symmetry of the theory with finite field-dependent parameter. Further we compute the Jacobian of functional measure under such an extended transformation. Remarkably, we find that such Jacobian extends the BRST exact part of the action which leads to a mapping between different gauges. We illustrate this with the help of Lorentz and $R_\xi$ gauges. We also discuss the results in Batalin-Vilkovisky framework.