Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation

Abstract

This paper deals with situations that illustrate how the violation of Lorentz symmetry in the gauge sector may contribute to magnetic moment generation of massive neutral particles with spin-1/2 and spin-1. The procedure we adopt here is based on Relativistic Quantum Mechanics. We work out the non-relativistic regime that follows from the wave equation corresponding to a certain particle coupled to an external electromagnetic field and a background that accounts for the Lorentz symmetry violation, and we read thereby the magnetic dipole moment operator for the particle under consideration.We keep track of the parameters that govern the non-minimal electromagnetic coupling and the breaking of Lorentz symmetry in the expressions we get for the magnetic moments in the different cases we contemplate. Our claim is that the tiny magnetic dipole moment of truly elementary neutral particles might signal Lorentz symmetry violation.

9 pages, revtex

References in corpus (103)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Lorentz-Violating Extension of the Standard Model
• CPT 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
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Constraints on Lorentz violation from clock-comparison experiments
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Lorentz and CPT Violation in Neutrinos
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic String
• CPT and Lorentz Tests in Penning Traps
• 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
• Cross Sections and Lorentz Violation
• New Tests of Lorentz Invariance Following from Observations of the Highest Energy Cosmic Gamma Rays
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Vacuum Cherenkov radiation
• Lorentz and CPT tests with spin-polarized solids
• Causality and CPT violation from an Abelian Chern-Simons-like term
• Lorentz-Violating Electrostatics and Magnetostatics
• Lorentz Violation in Supersymmetric Field Theories
• A New Limit on Signals of Lorentz Violation in Electrodynamics
• Lorentz and CPT Violation in the Neutrino Sector
• How Magnetic is the Dirac Neutrino?
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• The Cherenkov effect in Lorentz-violating vacua
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Threshold analyses and Lorentz violation
• Global three-parameter model for neutrino oscillations using Lorentz violation
• Model Independent Bounds on Magnetic Moments of Majorana Neutrinos
• CPT-odd Resonances in Neutrino Oscillations
• Dirac theory within the Standard-Model Extension
• Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Strong Equivalence, Lorentz and CPT Violation, Anti-Hydrogen Spectroscopy and Gamma-Ray Burst Polarimetry
• Testing Lorentz and CPT symmetry with hydrogen masers
• Optical cavity tests of Lorentz invariance for the electron
• 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
• Electromagnetic cavities and Lorentz invariance violation
• Regularisation : many recipes, but a unique principle : Ward identities and Normalisation conditions. The case of CPT violation in QED
• Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction
• Lorentz and CPT Violating Chern-Simons Term in the Formulation of Functional Integral
• Lorentz Symmetry Breaking in Abelian Vector-Field Models with Wess-Zumino Interaction
• Tests of Lorentz violation in muon antineutrino to electron antineutrino oscillations
• Lorentz and CPT Invariance Violation In High-Energy Neutrinos
• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• Limits on Lorentz Violation from the Highest Energy Cosmic Rays
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• Defect Structures in Lorentz and CPT Violating Scenarios
• Dimensional Reduction of a Lorentz and CPT-violating Maxwell-Chern-Simons Model
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Supersymmetric Extension of the 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
• Classical Solutions in a Lorentz-violating Scenario of Maxwell-Chern-Simons-Proca Electrodynamics
• The Casimir Force in a Lorentz Violating Theory
• Synchrotron Radiation in Lorentz-violating Electrodynamics: the Myers-Pospelov model
• Lorentz Violation and Synchrotron Radiation
• Lorentz Invariance Violation and the Spectrum and Source Power of Ultrahigh Energy Cosmic Rays
• Spontaneous Violation of Lorentz Invariance and Ultra-High Energy Cosmic Rays
• Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons Electrodynamics
• Causality and radiatively induced CPT violation
• Role of Ambiguities and Gauge Invariance in the Calculation of the Radiatively Induced Chern-Simons Shift in Extended Q.E.D.
• Probing the Planck Scale with Neutrino Oscillations
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Dimensional Reduction of the Abelian-Higgs Carroll-Field-Jackiw Model
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• The Lorentz and CPT violating effects on H^0\to f^+ f^- (ZZ, W^+ W^-) decays
• A Lorentz-violating SO(3) model: discussing the unitarity, causality and the 't Hooft-Polyakov monopoles
• Radiatively Induced Lorentz-Violating Photon Masses
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime
• Low-energy Moller scattering in a Maxwell-Chern-Simons Lorentz-violating planar model
• The μ\to eγand τ\to μγdecays with the inclusion of Lorentz and CPT violating effects
• Lorentz Symmetry Breaking and Planar Effects from Non-Linear Electrodynamics
• Consistency in Perturbative Calculations and Radiatively Induced Lorentz and CPT Violations
• Charged Tensor Matter Fields and Lorentz Symmetry Violation via Spontaneous Symmetry Breaking
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Tests of Lorentz Violation in Atomic and Optical Physics
• Neutrino Constraints on Spontaneous Lorentz Violation
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• How Magnetic is the Neutrino?
• Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background
• Lorentz Violation and Faddeev-Popov Ghosts
• Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model
• The Lorentz and CPT violating effects on the Z\to l^+ l^- decay
• Global Defects In Theories With Lorentz Symmetry Violation
• Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method

Cited by in corpus (64)

• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• QED with minimal and nonminimal couplings: on the quantum generation of Lorentz violating terms in the pure photon sector
• Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• On the influence of a Coulomb-like potential induced by the Lorentz symmetry breaking effects on the Harmonic Oscillator
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• Modified Dirac equation with Lorentz invariance violation and its solutions for particles in an external magnetic field
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Four-dimensional aether-like Lorentz-breaking QED revisited and problem of ambiguities
• An Analogy of the Quantum Hall Condutivity in a Lorentz-symmetry Violation Setup
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry
• Radiative generation of the CPT-even gauge term of the SME from a dimension-five nonminimal coupling term
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Cosmic Rays and the Search for a Lorentz Invariance Violation
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Aspects of Quantum Corrections in a Lorentz-violating Extension of the Abelian Higgs Model
• Lorentz-violating scenarios in a thermal reservoir
• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Quantum Holonomies based on the Lorentz-violating tensor background
• A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• On the Lorentz-breaking theory with higher derivatives in spinor sector
• Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario
• Coulomb-type interaction under Lorentz symmetry breaking effects
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot
• Lorentz violation in simple QED processes
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Arbitrariness in the gravitational Chern-Simons-like term induced radiatively
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Gravitational Searches for Lorentz Violation with Ultracold Neutrons
• Photon Magnetic Moment and Vacuum Magnetization in an Asymptotically Large Magnetic Field
• On Lorentz violation in $e^{-}+e^{+}\to {\mu }^{-}+{\mu }^{+}$ scattering at finite temperature
• Testing Lorentz-symmetry violation via electroweak decays
• A proposal for the origin of the anomalous magnetic moment
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Effective potential in Lorentz-breaking field theory models
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Metric Relativity and the Dynamical Bridge: highlights of Riemannian geometry in physics
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• On the anomalies in Lorentz-breaking theories
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Dual embedding of extended models with a Lorentz-breaking mass term
• Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• On massless and spinless particles with varying speed
• On one-loop corrections in the non-minimal dimension-five extension of QED
• From Noncommutative Sphere to Nonrelativistic Spin
• Tree-level equivalence between a Lorentz-violating extension of QED and its dual model in electron-electron scattering
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders
• Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling