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

  • H. BelichEmail author
  • T. Costa-Soares
  • M. M. FerreiraJr.
  • J. A. Helayël-Neto
theoretical physics

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.

Keywords

Field Theory Elementary Particle Quantum Field Theory Particle Acceleration Natural Consequence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  • H. Belich
    • 1
    • 2
    Email author
  • T. Costa-Soares
    • 2
    • 3
    • 4
  • M. M. FerreiraJr.
    • 2
    • 5
  • J. A. Helayël-Neto
    • 2
    • 3
  1. 1.Departamento de Física e QuímicaUniversidade Federal do Espírito Santo (UFES)Vitória - ESBrasil
  2. 2.Grupo de Física Teórica José Leite LopesC.P.91933Petrópolis, RJBrasil
  3. 3.CCP, CBPFRio de Janeiro, RJBrasil
  4. 4.Colégio Técnico UniversitárioUniversidade Federal de Juiz de Fora (UFJF)Bairro Fábrica - Juiz de Fora - MGBrasil
  5. 5.Departamento de Fí sicaUniversidade Federal do Maranhão (UFMA)São Luiz - MABrasil

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