Parity Violation in the Three Dimensional Thirring 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.

11 pages

Cited by in corpus (9)

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• Quadratic Effective Action for QED in D=2,3 Dimensions
• The static potential in QED${}_3$ with non-minimal coupling
• Static potential in scalar QED${}_3$ with non-minimal coupling
• Perturbative bosonization from two-point correlation functions
• Hartree-Fock approach to dynamical mass generation in the generalized (2+1)-dimensional Thirring model
• Chiral Symmetry Breaking in 2+1 dimensions due to Sphalerons