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Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications

H. Belich·T. Costa-Soares·M. M. Ferreira Jr.·J. A. Helayel-Neto
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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's 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 realises the violation of Lorentz symmetry.

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H. Belich, T. Costa-Soares, M. M. Ferreira Jr., J. A. Helayel-Neto. 2005-02-22. Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications. https://doi.org/10.1140/epjc%2Fs2005-02240-y

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