https://doi.org/10.1140/epjp/s13360-024-04970-1
Regular Article
Material boundaries in Carroll–Field–Jackiw Lorentz-violating electrodynamics
Departamento de Física, Universidade Federal de Lavras, Caixa Postal 3037, 37200-900, Lavras, MG, Brazil
a
david.junior@estudante.ufla.br
Received:
25
November
2023
Accepted:
1
February
2024
Published online:
10
February
2024
This paper investigates certain aspects of the CPT-odd photon sector of the minimal Standard Model Extension (SME) in the presence of a perfectly conducting plate (perfect mirror). The considered sector is described by Carroll–Field–Jackiw (CFJ) electrodynamics, where Lorentz violation is due to the presence of a single background vector denoted as , which we treat perturbatively up to second order. Specifically, we derive the modified propagator for the electromagnetic field due to the presence of the perfect mirror, and we study the corresponding interaction between the mirror and a stationary point-like charge. Our results reveal that when the charge is positioned near the mirror, a spontaneous torque emerges, which is a unique effect of Lorentz symmetry breaking. Additionally, we demonstrate that the image method for this theory is applicable when the background vector has only the component perpendicular to the mirror.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.