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Casimir effect in a Lorentz-violating tensor extension of a scalar field theory

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Abstract

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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Acknowledgements

The authors thank the Fundação Cearense de Apoio ao Desenvolvimento Científico e Tecnológico (FUNCAP), Grant No. PNE0112-00085.01.00/16 (JF), and the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Grant No. 200879/2022-7 (RVM) for financial support. R. V. Maluf acknowledges the Departament de Física Teòrica de la Universitat de València for the kind hospitality.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, C.P. 6030, Fortaleza, CE, 60455-760, Brazil

    M. C. Araújo & R. V. Maluf

  2. Universidade Federal do Cariri (UFCA), Av. Tenente Raimundo Rocha, Cidade Universitária, Juazeiro do Norte, CE, CEP 63048-080, Brazil

    J. Furtado

  3. Department of Physics, Faculty of Science, Gazi University, 06500, Ankara, Turkey

    J. Furtado

  4. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC, Universidad de Valencia, 46100, Burjassot, Valencia, Spain

    R. V. Maluf

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Araújo, M.C., Furtado, J. & Maluf, R.V. Casimir effect in a Lorentz-violating tensor extension of a scalar field theory. Eur. Phys. J. Plus 139, 165 (2024). https://doi.org/10.1140/epjp/s13360-024-04947-0

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