BFFT formalism applied to the minimal chiral Schwinger model

TL;DR

This paper applies the BFFT formalism to convert second-class constraints into first-class constraints in the minimal chiral Schwinger model, resulting in a gauge-invariant formulation and linking the Wess-Zumino action to gauge transformations.

Contribution

It demonstrates how the BFFT method can be used to embed the minimal chiral Schwinger model into a gauge-invariant framework, providing new insights into its structure.

Findings

Second class constraints are converted into first-class constraints.

A gauge-invariant formulation of the minimal chiral model is achieved.

The Wess-Zumino action is obtained via a gauge transformation.

Abstract

We consider the minimal chiral Schwinger model, by embedding the gauge noninvariant formulation into a gauge theory following the Batalin-Fradkin-Fradkina-Tyutin point of view. Within the BFFT procedure, the second class constraints are converted into strongly involutive first-class ones, leading to an extended gauge invariant formulation. We also show that, like the standard chiral model, in the minimal chiral model the Wess-Zumino action can be obtained by performing a q-number gauge transformation into the effective gauge noninvariant action.