Non-local on-shell field redefinition for the SME

Abstract

This work instigates a study of non-local field mappings within the Lorentz- and CPT-violating Standard-Model Extension (SME). An example of such a mapping is constructed explicitly, and the conditions for the existence of its inverse are investigated. It is demonstrated that the associated field redefinition can remove b-type Lorentz violation from free SME fermions in certain situations. These results are employed to obtain explicit expressions for the corresponding Lorentz-breaking momentum-space eigenspinors and their orthogonality relations.

12 pages, REVTeX4

References in corpus (113)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Modern tests of Lorentz invariance
• Noncommutative Field Theory and Lorentz Violation
• Signals for Lorentz Violation in Electrodynamics
• Chern-Simons Modification of General Relativity
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• Ultraviolet modifications of dispersion relations in effective field theory
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Radiatively Induced Lorentz and CPT Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• 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
• Modern Michelson-Morley experiment using cryogenic optical resonators
• CPT and Lorentz Tests in Penning Traps
• One-Loop Renormalization of Lorentz-Violating Electrodynamics
• Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Testing CPT with Anomalous Magnetic Moments
• Spacetime-varying couplings and Lorentz violation
• Sensitivity of CPT Tests with Neutral Mesons
• Cross Sections and Lorentz Violation
• Exact calculation of the radiatively-induced Lorentz and CPT violation in QED
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• CPT Violation and Baryogenesis
• Vacuum Cherenkov radiation
• Lorentz and CPT tests with spin-polarized solids
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
• Searching for CPT Violation with Cosmic Microwave Background Data from WMAP and BOOMERANG
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Probing Lorentz and CPT violation with space-based experiments
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• A New Limit on Signals of Lorentz Violation in Electrodynamics
• Lorentz and CPT Violation in the Neutrino Sector
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Bounding Noncommutative QCD
• The Cherenkov effect in Lorentz-violating vacua
• Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED
• Comments on Non-Commutative Phenomenology
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Threshold analyses and Lorentz violation
• Bound on Lorentz- and CPT-Violating Boost Effects for the Neutron
• Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
• Lorentz and CPT violations from Chern-Simons modifications of QED
• New CP-violation and preferred-frame tests with polarized electrons
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• CPT-odd Resonances in Neutrino Oscillations
• Dirac theory within the Standard-Model Extension
• Test of CPT and Lorentz invariance from muonium spectroscopy
• Test of the isotropy of the speed of light using a continuously rotating optical resonator
• Cosmological acceleration, varying couplings, and Lorentz breaking
• New Observational Bounds to Quantum Gravity Signals
• A Study of B Meson Oscillations Using Hadronic Z^0 Decays Containing Leptons
• Supersymmetry and Lorentz Violation
• Quantum gravity and spin 1/2 particles effective dynamics
• Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Photon decay in a CPT-violating extension of quantum electrodynamics
• Improved Test of Lorentz Invariance in Electrodynamics
• Testing Lorentz and CPT symmetry with hydrogen masers
• Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance
• Strong Equivalence, Lorentz and CPT Violation, Anti-Hydrogen Spectroscopy and Gamma-Ray Burst Polarimetry
• Improved test of Lorentz Invariance in Electrodynamics using Rotating Cryogenic Sapphire Oscillators
• Optical cavity tests of Lorentz invariance for the electron
• Quantum-Gravity Phenomenology: Status and Prospects
• Dynamical Lorentz simmetry breaking from 3+1 Axion-Wess-Zumino model
• Measurement of B0d - B0d-bar mixing rate from the time evolution of dilepton events at the Upsilon(4S)
• Spacetime foam, CPT anomaly, and photon propagation
• Redefining Spinors in Lorentz-Violating QED
• A CPT anomaly
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Lorentz Symmetry Breaking in Abelian Vector-Field Models with Wess-Zumino Interaction
• Tests of Lorentz violation in muon antineutrino to electron antineutrino oscillations
• Universal Dynamics of Spontaneous Lorentz Violation and a New Spin-Dependent Inverse-Square Law Force
• Whispering Gallery Resonators and Tests of Lorentz Invariance
• Lorentz and CPT Violation in the Higgs Sector
• New Bounds on Isotropic Lorentz Violation
• New methods of testing Lorentz violation in electrodynamics
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Cosmology and the Standard Model
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• Probing Lorentz violation with Doppler-shift experiments
• CPT Violation and Decoherence in Quantum Gravity
• Eliminating the CPT-Odd f Coefficient from the Lorentz-Violating Standard Model Extension
• A Remark on Lorentz Violation at Finite Temperature
• Models of Baryogenesis via Spontaneous Lorentz Violation
• Lorentz Violation and Synchrotron Radiation
• String Theoretic Bounds on Lorentz-Violating Warped Compactification
• Radiative Effects in the Standard Model Extension
• Double resonance frequency shift in a hydrogen maser
• Lorentz Invariance Breakdown and Constraints from Big-Bang Nucleosynthesis
• Lorentz symmetry violation without violation of relativistic symmetry
• Tests of Lorentz invariance using hydrogen molecules
• Bounds on Stringy Quantum Gravity from Low Energy Existing Data
• Asymmetrically warped compactifications and gravitational Lorentz violation
• The Lorentz and CPT violating effects on H^0\to f^+ f^- (ZZ, W^+ W^-) decays
• Limits on the Decay-Rate Difference of Neutral B Mesons and on CP, T, and CPT Violation in B0-B0bar Oscillations
• Matter-antimatter asymmetry without departure from thermal equilibrium
• CPT anomaly: a rigorous result in four dimensions
• Can a CPT Violating Ether Solve ALL Electron (Anti)Neutrino Puzzles?
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Gauge Field Theory in the Infrared Regime
• Photon-propagation model with random background field: Length scales and Cherenkov limits

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