Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling

Abstract

The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field. It were evaluated the particle eigenenergies, showing that the LV background is able to lift the original degenerescence in the absence of magnetic field and even for a neutral particle. The Aharonov-Casher phase is used to impose an upper bound on the background magnitude. A similar analysis is accomplished in a space endowed with a topological defect, revealing that both the disclination parameter and the LV background are able to modify the particle eigenenergies. We also analyze the particular case where the particle interacts harmonically with the topological defect and the LV background, with similar results.

8 pages, to appear in Physical Review D

References in corpus (85)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Signals for Lorentz Violation in Electrodynamics
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Constraints on Lorentz violation from clock-comparison experiments
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Spin interference effects in ring conductors subject to Rashba coupling
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• CPT and Lorentz Tests in Penning Traps
• Constraints on Torsion from Lorentz Violation
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Testing CPT with Anomalous Magnetic Moments
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Topological phase due to electric dipole moment and magnetic monopole interaction
• Cross Sections and Lorentz Violation
• New Tests of Lorentz Invariance Following from Observations of the Highest Energy Cosmic Gamma Rays
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Direct observation of the Aharonov-Casher phase
• Lorentz and CPT tests with spin-polarized solids
• Causality and CPT violation from an Abelian Chern-Simons-like term
• Experimental demonstration of the time reversal Aharonov-Casher effect
• New two-sided bound on the isotropic Lorentz-violating parameter of modified Maxwell theory
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Threshold analyses and Lorentz violation
• Persistent spin and mass currents and Aharonov-Casher effect
• Dirac theory within the Standard-Model Extension
• Gravity from spontaneous Lorentz violation
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Strong Equivalence, Lorentz and CPT Violation, Anti-Hydrogen Spectroscopy and Gamma-Ray Burst Polarimetry
• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Dynamical Lorentz simmetry breaking from 3+1 Axion-Wess-Zumino model
• Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
• Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction
• Lorentz Symmetry Breaking in Abelian Vector-Field Models with Wess-Zumino Interaction
• Bare and Induced Lorentz and CPT Invariance Violations in QED
• Limits on Lorentz Violation from the Highest Energy Cosmic Rays
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Defect Structures in Lorentz and CPT Violating Scenarios
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Dimensional Reduction of a Lorentz and CPT-violating Maxwell-Chern-Simons Model
• CPT and Lorentz violation effects in hydrogen-like atoms
• Remarks on the Causality, Unitarity and Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Radiative Effects in the Standard Model Extension
• Lorentz Invariance Violation and the Spectrum and Source Power of Ultrahigh Energy Cosmic Rays
• Anomalous positron excess from Lorentz-violating QED
• Spontaneous Violation of Lorentz Invariance and Ultra-High Energy Cosmic Rays
• Lorentz-violating gravitoelectromagnetism
• Controllable quantum spin precession by Aharonov-Casher phase in conducting ring
• Constraint from Lamb Shift and Anomalous Magnetic Moment on Radiatively Induced Lorentz and CPT Violation in Quantum Electrodynamics
• On the quantum dynamics of a point particle in conical space
• Relativistic Aharonov--Bohm effect in the presence of two-dimensional Coulomb potential
• Effects of Nongauge Potentials on the Spin-1/2 Aharonov-Bohm Problem
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Traveling solitons in Lorentz-violating systems
• On the exact Foldy-Wouthuysen transformation for a Dirac spinor in torsion and other CPT and Lorentz violating backgrounds
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• Self-adjoint Extension Approach to the spin-1/2 Aharonov-Bohm-Coulomb Problem
• A Lorentz-violating SO(3) model: discussing the unitarity, causality and the 't Hooft-Polyakov monopoles
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime
• Dual embedding of the Lorentz-violating electrodinamics and Batalin-Vilkovisky quantization
• Scattering of spin-polarized electron in an Aharonov--Bohm potential
• The bound state Aharonov-Bohm effect around a cosmic string revisited
• Lorentz Symmetry Breaking and Planar Effects from Non-Linear Electrodynamics
• Graviton Excitations and Lorentz-Violating Gravity with Cosmological Constant
• Lorentz-breaking effects in scalar-tensor theories of gravity
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Global Defects In Theories With Lorentz Symmetry Violation
• Aharonov-Bohm scattering on a cone
• Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method
• Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics

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• Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime
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• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• On Lorentz violation in $e^{-}+e^{+}\to {\mu }^{-}+{\mu }^{+}$ scattering at finite temperature
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• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Relativistic quantum dynamics of vector bosons in an Aharonov-Bohm potential
• Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation
• Higher-derivative Lorentz-breaking terms in extended QED at the finite temperature
• Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field