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Non-minimal coupling to a Lorentz-violating background and topological implications

  • theoretical physics
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Abstract.

The non-minimal coupling of fermions to a background responsible for the breaking of Lorentz symmetry is introduced in Dirac’s equation; the non-relativistic regime is contemplated, and the Pauli equation is used to show how an Aharonov-Casher phase may appear as a natural consequence of the Lorentz violation, once the particle is placed in a region where there is an electric field. Different ways of implementing the Lorentz breaking are presented and, in each case, we show how to relate the Aharonov-Casher phase to the particular components of the background vector or tensor that realizes the violation of Lorentz symmetry.

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Authors and Affiliations

  1. Departamento de Física e Química, Universidade Federal do Espírito Santo (UFES), Av. Fernando Ferrari, 29060-900, Vitória - ES, S/N Goiabeiras, Brasil

    H. Belich

  2. Grupo de Física Teórica José Leite Lopes, C.P.91933, CEP 25685-970, Petrópolis, RJ, Brasil

    H. Belich, T. Costa-Soares, M. M. FerreiraJr. & J. A. Helayël-Neto

  3. CCP, CBPF, Rua Xavier Sigaud 150, CEP 22290-180, Rio de Janeiro, RJ, Brasil

    T. Costa-Soares & J. A. Helayël-Neto

  4. Colégio Técnico Universitário, Universidade Federal de Juiz de Fora (UFJF), av. Bernardo Mascarenhas 1283, 36080-001, Bairro Fábrica - Juiz de Fora - MG, [INAME]Universidade Federal de Juiz de Fora (UFJF)[/INAME] [IDIVISION]Colégio Técnico Universitário[/IDIVISION] [ISTREET]av. Bernardo Mascarenhas 1283[/ISTREET] [ICITY]Bairro Fábrica - Juiz de Fora - MG[/ICITY] [IPOSTCODE]36080-001[/IPOSTCODE] [ICOUNTRY]Brasil[/ICOUNTRY] [ISTATE], Brasil

    T. Costa-Soares

  5. Departamento de Fí sica, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, 65085-580, São Luiz - MA, Brasil

    M. M. FerreiraJr.

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  1. H. Belich
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  2. T. Costa-Soares
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  3. M. M. FerreiraJr.
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  4. J. A. Helayël-Neto
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Corresponding author

Correspondence to H. Belich.

Additional information

Received: 23 February 2005, Revised: 12 March 2005, Published online: 18 May 2005

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Belich, H., Costa-Soares, T., FerreiraJr., M.M. et al. Non-minimal coupling to a Lorentz-violating background and topological implications. Eur. Phys. J. C 41, 421–426 (2005). https://doi.org/10.1140/epjc/s2005-02240-y

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  • DOI: https://doi.org/10.1140/epjc/s2005-02240-y

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