On the duality in CPT-even Lorentz-breaking theories

TL;DR

This paper extends the duality between self-dual and Maxwell-Chern-Simons theories to CPT-even Lorentz-breaking cases, analyzing their spectra and showing consistent physical properties.

Contribution

It introduces a generalized duality framework for CPT-even Lorentz-breaking theories using gauge embedding and master action methods.

Findings

Massive poles coincide in dual theories, ensuring unitarity and causality.

Extra massless poles are nondynamical and do not affect physical spectra.

Duality holds in both free and coupled cases.

Abstract

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure, both in free and coupled cases, and with the master action approach. The physical spectra of both Lorentz-breaking theories are studied. The massive poles are shown to coincide and to respect the requirements for unitarity and causality at tree level. The extra massless poles which are present in the dualized model are shown to be nondynamical.