Lorentz Symmetry Breaking in Abelian Vector-Field Models with Wess-Zumino Interaction

TL;DR

This paper investigates how Lorentz symmetry can be dynamically broken in abelian vector-field models with Wess-Zumino interactions, revealing non-perturbative effects related to renormalizability and unitarity in chiral gauge theories.

Contribution

It demonstrates the occurrence of Lorentz symmetry breaking at classical and one-loop levels in abelian models with Wess-Zumino interactions, linking it to non-perturbative phenomena.

Findings

Lorentz symmetry breaking occurs in massless and massive vector fields.

The phenomenon is connected to non-perturbative aspects of chiral gauge theories.

Lorentz symmetry breaking appears at both classical and quantum levels.

Abstract

We consider the abelian vector-field models in the presence of the Wess-Zumino interaction with the pseudoscalar matter. The occurence of the dynamic breaking of Lorentz symmetry at classical and one-loop level is described for massless and massive vector fields. This phenomenon appears to be the non-perturbative counterpart of the perturbative renormalizability and/or unitarity breaking in the chiral gauge theories.