Improved BFT embedding having chain-structure

TL;DR

This paper revisits the gauge non-invariant chiral Schwinger model with a focus on chain structure, deriving a gauge-invariant action with a novel Wess-Zumino term using an improved BFT embedding.

Contribution

It introduces an improved BFT embedding that preserves the chain structure, enabling a straightforward derivation of gauge-invariant actions for the model.

Findings

Dirac brackets derived from symplectic algebra

Gauge-invariant action with new Wess-Zumino term

Chain structure preservation in BFT embedding

Abstract

We newly revisit the gauge non-invariant chiral Schwinger model with a=1 in view of the chain structure. As a result, we show that the Dirac brackets can be easily read off from the exact symplectic algebra of second-class constraints. Furthermore, by using an improved BFT embedding preserving the chain structure, we obtain the desired gauge invariant action including a new type of Wess-Zumino term.