Nonperturbative Aspects of the two-dimensional Massive Gauged Thirring Model

TL;DR

This paper investigates the nonperturbative effects of fermionic mass in the two-dimensional Gauged Thirring Model using functional techniques, revealing that mass contributions preserve the model's nonperturbative features.

Contribution

It provides a novel analysis of massive fermion insertions in the model, showing the mass's simple impact on Green's functions and maintaining nonperturbative characteristics.

Findings

Massive fermion insertions have a surprisingly simple effect on Green's functions.

The nonperturbative nature of the massless model remains intact in the massive case.

A complementary bosonic representation analysis supports the findings.

Abstract

In this paper we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless Gauged Thirring Model. As it will be shown, the fermionic mass contributes to the Green's functions in a surprisingly simple way, leaving therefore the original nonperturbative nature of the massless results still intact in the massive theory. Also, by means of complementarity, we present a second discussion of the massive model, now at its bosonic representation.