Restrictions over two-dimensional gauge models with Thirring-like interaction

TL;DR

This paper extends the analysis of two-dimensional gauge models with Thirring-like interactions to include generalized vector and axial couplings, aiming to preserve the models' original gauge structure during quantization.

Contribution

It introduces a generalized framework for gauge and fermionic interactions in 2D models, maintaining their original structure through an innovative approach to Thirring-like terms.

Findings

Extended the class of gauge models with Thirring interactions

Preserved gauge structure during quantization

Provided a generalized approach to fermionic interactions

Abstract

Some years ago, it was shown how fermion self-interacting terms of the Thirring-type impact the usual structure of massless two-dimensional gauge theories [1]. In that work only the cases of pure vector and pure chiral gauge couplings have been considered and the corresponding Thirring term was also pure vector and pure chiral respectively, such that the vector (or chiral) Schwinger model should not lose its chirality structure due to the addition of the quartic interaction term. Here we extend this analysis to a generalized vector and axial coupling both for the gauge interaction and the quartic fermionic interactions. The idea is to perform quantization without losing the original structure of the gauge coupling. In order to do that we make use of an arbitrariness in the definition of the Thirring-like interaction.