Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime

TL;DR

This paper investigates how Lorentz symmetry breaking in cosmic string spacetime induces geometric quantum phases in both relativistic and nonrelativistic quantum dynamics of neutral particles, revealing new topological effects.

Contribution

It introduces a novel analysis of geometric phases arising from Lorentz symmetry violation effects in cosmic string spacetime for Dirac particles.

Findings

Relativistic geometric phase depends on cosmic string topology and Lorentz violation.

Nonrelativistic phase shift is influenced by Lorentz symmetry breaking and spacetime topology.

Effective metric formulation links Lorentz violation to quantum phase phenomena.

Abstract

By starting from the modified Maxwell theory coupled to gravity, the arising of geometric quantum phases in the relativistic and nonrelativistic quantum dynamics of a Dirac neutral particle from the effects of the violation of the Lorentz symmetry in the cosmic string spacetime is investigated. It is shown that the Dirac equation can be written in terms of an effective metric and a relativistic geometric phase stems from the topology of the cosmic string spacetime and the Lorentz symmetry breaking effects. Further, the nonrelativistic limit of the Dirac equation is discussed and it is shown that both Lorentz symmetry breaking effects and the topology of the defect yields a phase shift in the wave function of the nonrelativistic spin-1/2 particle.