Parity Violation in the Three Dimensional Thirring Model

TL;DR

This paper investigates parity violation in the 3D Thirring model, showing that the ground state fermion current lacks a well-defined parity and that radiative corrections induce fermion mass.

Contribution

It demonstrates the connection between parity violation and fermion mass generation, revealing that radiative corrections inevitably produce massive fermions in the model.

Findings

Ground state fermion current does not have a well-defined parity transformation.

Radiative corrections lead to fermion mass generation.

Parity violation is linked to the fermion mass in the model.

Abstract

We discuss parity violation in the 3-dimensional (N flavour) Thirring model. We find that the ground state fermion current in a background gauge field does not posses a well defined parity transformation. We also investigate the connection between parity violation and fermion mass generation, proving that radiative corrections force the fermions to be massive.