Dirac theory within the Standard-Model Extension

Abstract

The modified Dirac equation in the Lorentz-violating Standard-Model Extension (SME) is considered. Within this framework, the construction of a hermitian Hamiltonian to all orders in the Lorentz-breaking parameters is investigated, discrete symmetries and the first-order roots of the dispersion relation are determined, and various properties of the eigenspinors are discussed.

11 pages REVTeX

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Cited by in corpus (95)

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• Emergent CPT violation from the splitting of Fermi points
• Bipartite Riemann-Finsler geometry and Lorentz violation
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• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Classical kinematics for Lorentz violation
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• Limits on isotropic Lorentz violation in QED from collider physics
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• Classical-physics applications for Finsler $b$ space
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• Eliminating the CPT-Odd f Coefficient from the Lorentz-Violating Standard Model Extension
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• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Lorentz Violation and Synchrotron Radiation
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• 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
• Lorentz Invariance Breakdown and Constraints from Big-Bang Nucleosynthesis
• On a relativistic scalar particle subject to a Coulomb-type potential given by Lorentz symmetry breaking effects
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Non-local on-shell field redefinition for the SME
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Relativistic Landau-He-McKellar-Wilkens quantization and relativistic bound states solutions for a Coulomb-like potential induced by the Lorentz symmetry breaking effects
• Vacuum Cherenkov radiation for Lorentz-violating fermions
• Lorentz-violating effects on topological defects generated by two real scalar fields
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• Higher order corrections to the hydrogen spectrum from the Standard-Model Extension
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
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• Quantum phase transition for the BEC--BCS crossover in condensed matter physics and CPT violation in elementary particle physics
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• Understanding Lorentz violation with Rashba interaction
• Velocity in Lorentz-Violating Fermion Theories
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• Gupta-Bleuler Photon Quantization in the SME
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Lorentz violation in a uniform newtonian gravitational field
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Fermion observables for Lorentz violation
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• Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
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• Lorentz violation and higher-derivative gravity
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• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• Nonlinear Dirac Equations
• Beta-Decay Spectrum and Lorentz Violation
• CPT and Lorentz-invariance violation
• Aspects of Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions
• Super-entropy bumblebee AdS black holes
• Factoring the Dispersion Relation in the Presence of Lorentz Violation
• Lorentz and CPT Violation in Partons
• Lorentz violation, Two times physics and Strings
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• The Integrability of Pauli System in Lorentz Violating Background
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
• Information and Particle Physics
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• The Impact of Lorentz Violation on the Klein Tunneling Effect
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• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D
• CPT and Lorentz violation as signatures for Planck-scale physics
• Probing Quantum Nonlinearities through Neutrino Oscillations
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• CPT-symmetry studies with antihydrogen
• Fermions with Electric Dipole Moment in curved spacetime
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Photon gas with hyperbolic dispersion relations
• Perturbative calculation of energy levels for the Dirac equation with generalised momenta
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes