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

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

2004-10-10

arxiv.org/abs/hep-th/0410104v2

Eur.Phys.J.C41:421-426,2005

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, added references, no figures

Scientific paper

10.1140/epjc/s2005-02240-y

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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