Bosonization of the Schwinger Model by Noncommutative Chiral Bosons

TL;DR

This paper explores the bosonization of the Schwinger model using noncommutative chiral bosons on a cylindrical spacetime, maintaining gauge invariance and discussing physical implications.

Contribution

It introduces a novel approach to bosonization with noncommutative chiral bosons while preserving gauge invariance on a cylindrical topology.

Findings

Maintains gauge invariance via point splitting regularization

Provides insights into physical consequences of noncommutative bosonization

Extends bosonization techniques to noncommutative spacetime settings

Abstract

Bosonization of the Schwinger model with noncommutative chiral bosons is considered on a spacetime of cylinder topology. Using point splitting regularization, manifest gauge invariance is maintained throughout. Physical consequences are discussed.