Gauge field theories with Lorentz-violating operators of arbitrary dimension

Abstract

The classification of Lorentz- and CPT-violating operators in nonabelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields. Restrictions to the abelian, Lorentz-invariant, and isotropic limits are presented. We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics. First constraints on nonlinear Lorentz-violating effects in electrodynamics are obtained using data from experiments on photon-photon scattering, and corrections from nonminimal Lorentz and CPT violation to the cross section for deep inelastic scattering are derived.

arXiv comment22 pages two-column REVTeX, version published in Physical Review D

References in corpus (84)

• The Confrontation between General Relativity and Experiment
• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• Noncommutative Field Theory and Lorentz Violation
• 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
• CPT Violation Implies Violation of Lorentz Invariance
• Tests of Lorentz invariance: a 2013 update
• Coherent gamma-gamma and gamma-A interactions in very peripheral collisions at relativistic ion colliders
• Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Fermions with Lorentz-violating operators of arbitrary dimension
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Constraints on Torsion from Lorentz Violation
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• What Do We Know About Lorentz Invariance?
• Sensitivity of CPT Tests with Neutral Mesons
• Observing light-by-light scattering at the Large Hadron Collider
• Lorentz-violating electrodynamics and the cosmic microwave background
• Probing Lorentz and CPT violation with space-based experiments
• Astrophysical Tests of Lorentz and CPT Violation with Photons
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• CPT, T, and Lorentz Violation in Neutral-Meson Oscillations
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Lorentz and CPT tests with hydrogen, antihydrogen, and related systems
• Supersymmetry and Lorentz Violation
• Lorentz-violating spinor electrodynamics and Penning traps
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Analysis of the consistency of parity-odd nonbirefringent modified Maxwell theory
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Tests of Lorentz symmetry in the gravitational sector
• Constraints on relativity violations from gamma-ray bursts
• Test of CPT and Lorentz symmetry in entangled neutral kaons with the KLOE experiment
• Classification of Dimension 5 Lorentz Violating Interactions in the Standard Model
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Classical-physics applications for Finsler $b$ space
• Lorentz and Diffeomorphism Violations in Linearized Gravity
• Finsler-like structures from Lorentz-breaking classical particles
• A First Experimental Limit on In-matter Torsion from Neutron Spin Rotation in Liquid He-4
• Unitarity in higher-order Lorentz-invariance violating QED
• Asymptotic states and renormalization in Lorentz-violating quantum field theory
• Exclusive muon-pair productions in ultrarelativistic heavy-ion collisions: Realistic nucleus charge form factor and differential distributions
• Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
• Lorentz and CPT Tests with Clock-Comparison Experiments
• CPT violation and B-meson oscillations
• Search for violation of Lorentz invariance in top quark pair production and decay
• Constraints on Nonmetricity from Bounds on Lorentz Violation
• Search for violations of Lorentz invariance and $CPT$ symmetry in $B_{(s)}^0$ mixing
• Lorentz and CPT Violation in Top-Quark Production and Decay
• Planck-scale constraints on anisotropic Lorentz and CPT invariance violations from optical polarization measurements
• Constraining Anisotropic Lorentz Violation via the Spectral-Lag Transition of GRB 160625B
• Lorentz violation and deep inelastic scattering
• Vector Superfields and Lorentz Violation
• Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
• Constraints on Lorentz Invariance and CPT Violation using Optical Photometry and Polarimetry of Active Galaxies BL Lacertae and S5 B0716+714
• Quantum Field Theory in a Multi-Metric Background
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• First-order classical Lagrangians for the nonminimal Standard-Model Extension
• Constraining CPT-odd nonminimal interactions in the Electroweak sector
• Cavity Bounds on Higher-Order Lorentz-Violating Coefficients
• Status and prospects for $CPT$ and Lorentz invariance violation searches in neutral meson mixing
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Search for Violation of $CPT$ and Lorentz invariance in $B_s^0$ meson oscillations
• Gluonic Lorentz violation and chiral perturbation theory
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• One-loop correction to the photon velocity in Lorentz-violating QED
• Lorentz violation and the electron-ion collider
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• Decays $Z\to \gamma \gamma$ and $Z\to gg$ in the Standard Model Extension
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
• $C{P}^{(N-1)}$ model in aether-superspace
• Dynamical gauge symmetry breaking in lower-dimensional Lorentz-violating supersymmetric theory
• Implications of Lorentz symmetry violation on a 5D supersymmetric model

Cited by in corpus (65)

• Observation of light-by-light scattering in ultraperipheral Pb+Pb collisions with the ATLAS detector
• Backgrounds in gravitational effective field theory
• Schwarzschild-like black hole with a topological defect in bumblebee gravity
• Signals for Lorentz violation in gravitational waves
• Static spherical vacuum solutions in the bumblebee gravity model
• Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb${}^{-1}$ of Pb+Pb data with the ATLAS detector
• Lorentz violation in Dirac and Weyl semimetals
• Bumblebee black holes in light of Event Horizon Telescope observations
• Higher-derivative Lorentz-breaking dispersion relations: a thermal description
• Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
• New limits on the Lorentz/CPT symmetry through fifty gravitational-wave events
• Thermal aspects of interacting quantum gases in Lorentz-violating scenarios
• Radiative corrections and Lorentz violation
• Searches for beyond-Riemann gravity
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Lorentz Violation and Sagnac Gyroscopes
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Searching for CPT Violation with Neutral-Meson Oscillations
• Photon splitting constraint on Lorentz Invariance Violation from Crab Nebula spectrum
• Dynamic instability analysis for bumblebee black holes: the odd parity
• Light-by-Light Scattering and Spacetime Noncommutativity
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Seiberg-Witten map Invariant Scatterings
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Beta-Decay Spectrum and Lorentz Violation
• Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
• Lorentz and CPT Violation in Partons
• Non-Abelian aether-like term in four dimensions
• Lorentz-breaking Rarita-Schwinger model
• New limits on the local Lorentz invariance violation of gravity in the Standard-Model Extension with pulsars
• Limits on non-minimal Lorentz violating parameters through FCNC and LFV processes
• Nonperturbative Lorentz Violation and Field Quantization
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• A Ramsey Neutron-Beam Experiment to Search for Ultralight Axion Dark Matter at the ESS
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Quark-sector Lorentz violation in $Z$-boson production
• Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model
• Breaking of Lorentz Invariance in Electron-Proton Parity Violation
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• The CPT-violating effects on neutrons' gravitational bound state
• Axion-Photon Interaction from Nonminimal Dimension-5 Lorentz-Violating Operators
• Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect
• Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
• Lorentz and CPT Tests using Penning Traps
• Lorentz Symmetry Violation in QCD and the Frustration of Asymptotic Freedom
• Bounds on the scale of noncommutativity from mono photon production in ATLAS Runs -1 and -2 experiments at LHC energies
• Effective electromagnetic Lagrangians in the derivative expansion method
• Do anomalies break the momentum routing invariance?
• Carroll-Field-Jackiw term in a massless Rarita-Schwinger model
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-even dimension-5 terms
• Nonminimal Lorentz Violation in Macroscopic Matter
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Demonstration of deuterium's enhanced sensitivity to symmetry violations governed by the Standard-Model Extension
• Penning-Trap Searches for Lorentz and CPT Violation
• Relativistic spin precession in homogeneous background fields
• Ambiguities in the generation of CFJ-terms in a QED with dimension-5 operators in one loop
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• CPT-violating z=3 Horava-Lifshitz QED and generation of the Carroll-Field-Jackiw term
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen