On the duality in CPT-even Lorentz-breaking theories

A P Baêta Scarpelli,A Yu Petrov,J R Nascimento,R F Ribeiro

doi:10.1140/epjc/s10052-015-3537-z

A P Baêta Scarpelli, A Yu Petrov + Show 2 more

Open Access

https://doi.org/10.1140/epjc/s10052-015-3537-z

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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.

Highlights

Lorentz-breaking theories have attracted great attention in the last two decades
The paper is organized as follows: Sect. 2 is dedicated to the presentation of the self-dual (SD) model, the determination of the corresponding dual Maxwell–Chern–Simons-like (MCS) theory by means of the gauge embedding technique and the confirmation of duality through the analysis of the equations of motion; Sect. 3 is devoted to the confirmation of this duality with the use of the master action formalism; in Sect. 4, we study the physical consistency of both models through the analysis of their spectra, obtained from the propagators
In the sequence we have shown that there exists a master action which generates the two models

Summary

Introduction

Lorentz-breaking theories have attracted great attention in the last two decades (for a general review on this issue, see [1] and references therein). The Standard Model Extension (SME) [21,22,23,24], which provides a description of Lorentz and CPT violation in quantum field theories, includes CPT-even terms These CPT-even relativity-breaking models have been the focus of intense investigation recently and many issues related to classical solutions in these theories have been discussed (a very incomplete list is given in [25,26,27,28,29,30,31]). We construct a CPT-even Lorentz-breaking generalization of the famous 3D duality between self-dual and Maxwell–Chern–Simons theories of [4] To this aim, we employ the gauge embedding method and, further, we check the duality through different methods, both in free and coupled cases.

Gauge embedding

Master action approach

Propagators and structure of the poles

Self-dual model

Maxwell–Chern–Simons model

Concluding remarks