A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment

Abstract

Recently, a scheme to analyse topological phases in Quantum Mechanics by means of the non-relativistic limit of fermions non-minimally coupled to a Lorentz-breaking background has been proposed. In this letter, we show that the fixed background, responsible for the Lorentz-symmetry violation, may induce opposite Aharonov-Casher phases for a particle and its corresponding antiparticle. We then argue that such a difference may be used to investigate the asymmetry for particle/anti-particle as well as to propose bounds on the associated Lorentz-symmetry violating parameters.

4 pages - A published version

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• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
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• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
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• Influence of Lorentz-violating terms on a two-level system
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• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects