Causal Theory for the Gauged Thirring Model

TL;DR

This paper analyzes the (2+1)-dimensional massive Thirring model as a gauge theory using causal perturbation theory, focusing on dynamical gauge boson mass generation and deriving the coefficient of the induced Chern-Simons term.

Contribution

It provides an unambiguous calculation of the induced Chern-Simons term coefficient in the gauged Thirring model using causal perturbation theory.

Findings

Explicit expression for the Chern-Simons coefficient

Demonstration of dynamical gauge boson mass generation

Application of causal perturbation theory to gauge models

Abstract

We consider the (2+1)-dimensional massive Thirring model as a gauge theory, with one fermion flavor, in the framework of the causal perturbation theory and address the problem of dynamical mass generation for the gauge boson. In this context we get an unambiguous expression for the coefficient of the induced Chern-Simons term.