https://doi.org/10.1140/epjp/s13360-024-04947-0
Regular Article
Casimir effect in a Lorentz-violating tensor extension of a scalar field theory
1
Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, 60455-760, Fortaleza, CE, Brazil
2
Universidade Federal do Cariri (UFCA), Av. Tenente Raimundo Rocha, Cidade Universitária, CEP 63048-080, Juazeiro do Norte, CE, Brazil
3
Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey
4
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Universidad de Valencia, 46100, Burjassot, Valencia, Spain
Received:
27
October
2023
Accepted:
27
January
2024
Published online:
16
February
2024
This paper investigates the Casimir energy modifications due to the Lorentz-violating CPT-even contribution in an extension of the scalar QED. We have considered the complex scalar field satisfying Dirichlet boundary conditions between two parallel plates separated by a small distance. An appropriate tensor parametrization allowed us to study the Casimir effect in three different configurations: isotropic, anisotropic parity-odd, and anisotropic parity-even. We have shown that the Lorentz-violating contributions can promote either an increase or a decrease in the Casimir energy evaluated in the isotropic configuration, depending on whether the violation parameters are taking as positive or negative values. On the other hand, for the anisotropic parity-even case the Casimir energy only decreases, while for the anisotropic parity-odd cases it only increases. Therefore, from these last two results it seems that the Casimir energy is sensitive to the parity of Lorentz-violating coefficients.
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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.