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

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.

15 pages

References in corpus (19)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Global three-parameter model for neutrino oscillations using Lorentz violation
• New CP-violation and preferred-frame tests with polarized electrons
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Probing Lorentz violation with Doppler-shift experiments
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• CPT violation and B-meson oscillations
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• Lorentz violation and black-hole thermodynamics