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Effects of a Coulomb-type potential induced by Lorentz symmetry breaking effects around a long non-conductor cylinder

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Abstract

We explore a theoretical model that goes beyond the Standard Model Extension with the purpose of studying nonrelativistic quantum effects associated with a privileged direction in the spacetime. The existence of a privileged direction in the spacetime is a hypothesis made by assuming the violation of the Lorentz symmetry through a fixed vector field. Then, we search for Lorentz symmetry violation effects around a long non-conductor cylinder. We analyze the possibility of achieving bound states and also finding a lower bound for the parameters of the Lorentz symmetry violation.

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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 work and analytical calculations are made. Therefore, no data is required.].

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Acknowledgements

The authors would like to thank the Brazilian agencies CNPq and CAPES for financial support.

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-900, Brazil

    A. S. Oliveira & K. Bakke

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

    H. Belich

Authors
  1. A. S. Oliveira
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  2. K. Bakke
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  3. H. Belich
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Contributions

All authors contributed equally to the paper.

Corresponding author

Correspondence to K. Bakke.

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Oliveira, A.S., Bakke, K. & Belich, H. Effects of a Coulomb-type potential induced by Lorentz symmetry breaking effects around a long non-conductor cylinder. Eur. Phys. J. D 76, 36 (2022). https://doi.org/10.1140/epjd/s10053-022-00364-z

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  • DOI: https://doi.org/10.1140/epjd/s10053-022-00364-z

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