Path-integral Bosonization of $d=2$ PT symmetric models

TL;DR

This paper develops a path-integral bosonization method for non-Hermitian PT symmetric fermion models in two dimensions, establishing connections between fermionic and bosonic theories, including Thirring-sine-Gordon and Gross-Neveu models.

Contribution

It introduces a novel path-integral bosonization approach for PT symmetric non-Hermitian models in 2D, extending known fermion-boson correspondences to this class of theories.

Findings

Established bosonization relations for PT symmetric Thirring and sine-Gordon models.

Extended bosonization techniques to the Gross-Neveu model.

Provided a framework for analyzing non-Hermitian PT symmetric fermionic theories.

Abstract

We discuss bosonization of non-Hermitian PT invariant fermion models in $d=2$ space-time dimensions within the path-integral approach in which the generating functionals associated to the fermion and boson models can be related. We first discuss the PT symmetric Thirring-sine-Gordon connection and then extend the treatment to bosonize the Gross-Neveu model.