The Thirring interaction in the two-dimensional axial-current-pseudoscalar derivative coupling model

TL;DR

This paper reexamines a two-dimensional fermion-pseudoscalar interaction model, mapping it to a Thirring model with additional interactions, and provides a complete bosonized form including composite operators.

Contribution

It introduces a canonical transformation that maps the model to a Schroer-Thirring model and derives its complete bosonized version with composite operators.

Findings

Model mapped to Schroer-Thirring form

Complete bosonized Hamiltonian derived

Composite operators obtained via Wilson expansion

Abstract

The authors reexamine the two-dimensional model of massive fermions interacting with a massless pseudoscalar field via axial-current-pseudoscalar derivative coupling. Performing a canonical field transformation on the Bose field algebra the model is mapped into the Thirring model with an additional vector-current-scalar-derivative interaction (Schroer-Thirring model). The complete bosonized version of the model is presented. The bosonized composite operators of the quantum Hamiltonian are obtained as the leading operators in the Wilson short distance expansion.