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Effects of a harmonic-type potential on a scalar field in a background of CPT-odd Lorentz symmetry violation

  • Regular Article – Atomic Physics
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Abstract

We have investigated the relativistic quantum dynamics of a scalar field in an anisotropic background governed by the Lorentz symmetry violation. This analysis is done through a non-minimal coupling in the Klein–Gordon equation, which is inspired by the CPT-odd gauge sector of the standard model extension. From the elaboration of a vector and electromagnetic field configuration as a possible Lorentz break scenario, we induced an electric field which influences the scalar field. In this scenario, we show that it is possible to determine two energy profiles for the system, that is, a description of the relativistic quantum dynamics of the scalar field in the xy-plane and in all space-time.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data has been listed.]

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Acknowledgements

The authors would like to thank CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil) and CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Brazil).

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Authors and Affiliations

  1. Faculdade de Física, Universidade Federal do Pará, Av. Augusto Corrêa, Guamá, Belém, PA, 66075-110, Brazil

    R. L. L. Vitória

  2. Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, Vitória, ES, 29060-900, Brazil

    H. Belich

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  1. R. L. L. Vitória
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Contributions

R. L. L. Vitória is responsible for preparing all stages of article construction, literature review, definition of methodology, discussion of results and conclusion. H. Belich is responsible for guiding and correcting all steps performed by the first author.

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Correspondence to R. L. L. Vitória.

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Vitória, R.L.L., Belich, H. Effects of a harmonic-type potential on a scalar field in a background of CPT-odd Lorentz symmetry violation. Eur. Phys. J. D 75, 291 (2021). https://doi.org/10.1140/epjd/s10053-021-00303-4

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00303-4

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