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

TL;DR

This paper explores how Lorentz-violating backgrounds can induce opposite topological phases for particles and antiparticles, offering a potential method to study particle-antiparticle asymmetries and constrain Lorentz-symmetry violation parameters.

Contribution

It demonstrates that Lorentz-symmetry violation can cause opposite Aharonov-Casher phases for particles and antiparticles, providing a novel approach to investigate fundamental symmetry violations.

Findings

Lorentz-violating backgrounds induce opposite phases for particles and antiparticles.

The phase difference can be used to probe particle-antiparticle asymmetries.

Bounds on Lorentz-violation parameters can be estimated from phase measurements.

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.