Data Tables for Lorentz and CPT Violation

Abstract

This work tabulates measured and derived values of coefficients for Lorentz and CPT violation in the Standard-Model Extension. Summary tables are extracted listing maximal attained sensitivities in the matter, photon, neutrino, and gravity sectors. Tables presenting definitions and properties are also compiled.

198 pages, 2026 edition

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• Tests of CPT symmetry in B0-B0bar mixing and in B0 to c cbar K0 decays
• Lorentz-violating neutral-pion decays in isotropic modified Maxwell theory
• Measuring Gravitational Wave Speed and Lorentz Violation with the First Three Gravitational-Wave Catalogs
• Test of Lorentz Invarience from Compton Scattering
• Lorentz and CPT Tests using Penning Traps
• Space anisotropy search at colliders
• Limits on Spherical Coefficients in the Minimal-SME Photon Sector
• Testing CPT Invariance by High-Precision Comparisons of Fundamental Properties of Protons and Antiprotons at BASE
• Electromagnetic Flavor-Changing Lepton Decays from Lorentz and CPT Violation
• Lorentz- and CPT-violating effects in Penning traps at linear boost
• Flavor Anisotropy in the High-Energy Astrophysical Neutrino Sky
• New Constraint for Isotropic Lorentz Violation from LHC Data
• Constraints on Lorentz invariance violation with multiwavelength polarized astrophysical sources
• General Electromagnetic Nonminimal Couplings in the Dirac Equation
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• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Constraints on Lorentz symmetry violations with Lunar Laser Ranging

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• Test of Lorentz invariance with atmospheric neutrinos
• Constraints on relativity violations from gamma-ray bursts
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• Massive photons and Lorentz violation
• Quantum Test of the Equivalence Principle and Space-Time aboard the International Space Station
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• Test of Time Dilation Using Stored Li+ Ions as Clocks at Relativistic Speed
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• Parity-violating interactions of cosmic fields with atoms, molecules, and nuclei: Concepts and calculations for laboratory searches and extracting limits
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• Searching for CPT Violation with Neutral-Meson Oscillations
• Unitarity in Maxwell-Carroll-Field-Jackiw electrodynamics
• Projected constraints on the dispersion of gravitational waves using advanced ground- and space-based interferometers
• Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
• Covariant Quantization of CPT-violating Photons
• Testing Lorentz invariance and CPT symmetry using gamma-ray burst neutrinos
• Quantum Field Theory in a Multi-Metric Background
• Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
• New constraints on Lorentz invariance violation with polarized gamma-ray bursts
• Lorentz violation effects in two neutrino double-beta decay
• Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension
• Testing Lorentz and CPT invariance with neutrinos
• Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension
• Fermion observables for Lorentz violation
• Hadronic Lorentz Violation in Chiral Perturbation Theory
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• The full CPT-even photon sector of the Standard Model Extension at finite temperature
• Tests of Lorentz and CPT symmetry with hadrons and nuclei
• Tunable multiple layered Dirac cones in optical lattices
• The anti-proton charge radius
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Cosmological Evolution of Fundamental Constants: From Theory to Experiment
• Dirac equation in very special relativity for hydrogen atom
• Cosmology of a Lorentz violating Galileon theory
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• The Källén-Lehmann representation for Lorentz-violating field theory
• Lorentz Symmetry breaking studies with photons from astrophysical observations
• One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
• Consequences of Neutrino Lorentz Violation For Leptonic Meson Decays
• Modified-gravity theories with nondynamical background fields
• Next Generation of Phonon Tests of Lorentz Invariance using Quartz BAW Resonators
• Hořava-Lifshitz cosmology in light of new data
• Unimodular Einstein--Cartan gravity: Dynamics and conservation laws
• Relativistic geometric quantum phases from the Lorentz symmetry violation effects in the CPT-even gauge sector of Standard Model Extension
• Lorentz Violation and the Higgs Mechanism
• The relation between general relativity and a class of Hořava gravity theories
• A new approach to test Lorentz invariance
• Spacetime Symmetry Breaking and Einstein-Maxwell Theory
• Locking the frequency of lasers to an optical cavity at the $1.6\times 10^{-17}$ relative instability level
• Violations of Lorentz invariance in the neutrino sector: an improved analysis of anomalous threshold constraints
• Contributions to Pion Decay from Lorentz Violation in the Weak Sector
• Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation
• Hyperfine spectroscopy of hydrogen and antihydrogen in ASACUSA
• Thermodynamics of a quantum ring modified by Lorentz violation
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Commissioning of the new taggers of the KLOE-2 experiment
• Anisotropic cubic curvature couplings
• Quantum gravitational states of ultracold neutrons as a tool for probing of beyond-Riemann gravity
• Odd-parity stability of black holes in Einstein-Aether gravity
• Limits on Lorentz violation from charged-pion decay
• Photon decay in UHE air showers: stringent bound on Lorentz violation
• Phenomenology of Space-time Imperfection II: Local Defects
• Inflation as an amplifier: the case of Lorentz violation
• Microcausality and quantization of the fermionic Myers-Pospelov model
• Gravitational collapse and formation of universal horizons in Einstein-aether theory
• Measurement of the strong interaction induced shift and width of the 1s state of kaonic deuterium at J-PARC
• Neutrino Beam Constraints on Flavor-Diagonal Lorentz Violation
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Gravity with Explicit Diffeomorphism Breaking
• Study of the $K_S{K}_L\to \pi \ell \nu 3{\pi }^0$ process for time reversal symmetry test at KLOE-2
• Explicit spacetime-symmetry breaking and the dynamics of primordial fields
• Dynamical ambiguities in models with spontaneous Lorentz violation
• First-order classical Lagrangians for the nonminimal Standard-Model Extension
• Constraints on the deformation scale of a geometry in the cotangent bundle
• A bound on Planck-scale deformations of CPT from muon lifetime
• Lorentz Violation in the Higgs Sector and Noncommutative Standard Model
• Testing Violations of Lorentz Invariance with Cosmic Rays
• First Test of Lorentz Invariance in the Weak Decay of Polarized Nuclei
• Commissioning of the Inner Tracker of the KLOE-2 experiment
• New Atomic probes for Dark Matter detection: Axions, Axion-like particles and Topological Defects
• Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects
• Limiting Superluminal Neutrino Velocity and Lorentz Invariance Violation by Neutrino Emission from the Blazar TXS 0506+056
• Status and prospects for $CPT$ and Lorentz invariance violation searches in neutral meson mixing
• Effective electromagnetic actions for Lorentz violating theories exhibiting the axial anomaly
• Cavity Bounds on Higher-Order Lorentz-Violating Coefficients
• Static and rotating universal horizons and black holes in gravitational theories with broken Lorentz invariance
• Can Lorentz Invariance Violation affect the Sensitivity of Deep Underground Neutrino Experiment?
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Commissioning of the new calorimeters of the KLOE-2 experiment
• Partitioning Dense Graphs with Hardware Accelerators
• On the effective action of the vacuum photon splitting in Lorentz-violating QED
• Does a deformation of special relativity imply energy dependent photon time delays?
• Minimal theory of quasidilaton massive gravity
• Phenomenology of Space-time Imperfection I: Nonlocal Defects
• Free energy of Lorentz-violating QED at high temperature
• Quantum-spacetime effects on nonrelativistic Schrödinger evolution
• Neutron star sensitivities in Hořava gravity after GW170817
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Odd-parity perturbations of the wormhole-like geometries and quasi-normal modes in Einstein-Æther theory
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Modeling-Free Bounds on Nonrenormalizable Isotropic Lorentz and CPT Violation in QED
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Geometry of multi-particle systems with a relativistic deformed kinematics and the relative locality principle
• Lorentz violation in three-family neutrino oscillation
• Testing Lorentz invariance in orbital electron capture
• Tests of Lorentz and CPT Violation in the Medium Baseline Reactor Antineutrino Experiment
• Lorentz Violation in Warped Extra Dimensions
• Torsion as a Dark Matter Candidate from the Higgs Portal
• Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
• Revisiting Tests of Lorentz Invariance with Gamma-ray Bursts: Effects of Intrinsic Lags
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• Lorentz symmetry breaking effects on relativistic EPR correlations
• $K_S$ semileptonic decays and test of $\mathcal{C}\mathcal{P}\mathcal{T}$ symmetry with the KLOE detector
• Limiting Lorentz Violation from Neutron--Antineutron Oscillation
• Mass-dependent Lorentz Violation and Neutrino Velocity
• Search for Violation of $CPT$ and Lorentz invariance in $B_s^0$ meson oscillations
• Horava Gravity with Mixed Derivative Terms: Power-Counting Renormalizability with Lower-Order Dispersions
• Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics
• No radiative corrections to the Carroll-Field-Jackiw term beyond one-loop order
• Quantum logic inspired techniques for spacetime-symmetry tests with (anti-)protons
• Geometrical origins of the Universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter
• A field theory in Randers-Finsler spacetime
• Probing Beyond the Standard Model Physics with Double-beta Decays
• Question of Lorentz invariance in muon decay
• Investigating dark energy by electromagnetic frequency shifts
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches
• Quantum Electrodynamics of Non-Hermitian Dirac Fermions
• Weighing the Neutrino
• Observables from spherically symmetric modified dispersion relations
• Splitting the Dirac equation: the case of longitudinal potentials
• Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
• Lorentz-violating effects in the Bose-Einstein condensation of an ideal bosonic gas
• Neutron Star Structure in the Minimal Gravitational Standard-Model Extension and the Implication to Continuous Gravitational Waves
• Testing Lorentz- and CPT-invariance with ultracold neutrons
• Detection of discrete spacetime by matter interferometry
• Lorentz violation and higher-derivative gravity
• Testing Lorentz symmetry violation with an invariant minimum speed
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Gravitational Searches for Lorentz Violation with Ultracold Neutrons
• The Quantum Field Theory Boundaries Applicability and Black Holes Thermodynamics
• Improved Constraints on Anisotropic Birefringent Lorentz Invariance and CPT Violation from Broadband Optical Polarimetry of High Redshift Galaxies
• Concurrent tests of Lorentz invariance in $\beta$-decay experiments
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• Lorentz invariance violation in the neutrino sector: a joint analysis from big bang nucleosynthesis and the cosmic microwave background
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory with the complete set of CPT-Lorentz violating terms
• Gluonic Lorentz violation and chiral perturbation theory
• Chern-Simons terms in Lifshitz like quantum electrodynamics
• Cosmic-ray fermion decay by emission of on-shell W bosons with CPT violation
• Unitarity and Lee-Wick prescription at one loop level in the effective Myers-Pospelov electrodynamics: the $e^{+}+e^{-}$ annihilation
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• Lorentz Violation and Alpha-Decay
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
• (Gravitational) Vacuum Cherenkov Radiation
• The Lorentz-violating real scalar field at thermal equilibrium
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Lorentz invariance violation and electromagnetic field in an intrinsically anisotropic spacetime
• Yukawa-Lorentz Symmetry in Non-Hermitian Dirac Materials
• Anisotropic fixed points in Dirac and Weyl semimetals
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Torsion at different scales: from materials to the Universe
• Lorentz invariance violation and the CPT-odd electromagnetic response of a tilted anisotropic Weyl semimetal
• Electromagnetism with dimension-five operators
• Frequency variation for in vacuo photon propagation in the Standard-Model Extension
• Exploring the CPT violation and birefringence of gravitational waves with ground- and space-based gravitational-wave interferometers
• Paths to gravitation via the gauging of parameterized field theories
• Investigating the effects of Lorentz Invariance Violation on the CP-sensitivities of the Deep Underground Neutrino Experiment
• Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Emergent gravity and ether-drift experiments
• One-loop correction to the photon velocity in Lorentz-violating QED
• Comment on: "Does an atom interferometer test the gravitational redshift at the Compton frequency?"
• Electric dipole moments of superheavy elements - A case study on copernicium
• Signature of Lorentz Violation in Continuous Gravitational-Wave Spectra of Ellipsoidal Neutron Stars
• Predictions of Ultra-High Energy Cosmic Ray Propagation in the Context of Homogeneously Modified Special Relativity
• Lorentz violation and the electron-ion collider
• On quantum aspects of the higher-derivative Lorentz-breaking extension of QED
• Spontaneous Lorentz violation and asymptotic flatness
• Selected Topics in Cosmic Ray Physics
• Traces of Lorentz symmetry breaking in a Hydrogen atom at ground state
• Emergent Lorentz invariance with chiral fermions
• Effects of spacetime anisotropy on the galaxy rotation curves
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• Probing Lorentz violation in $2\nu \beta \beta$ using single electron spectra and angular correlations
• Cerenkov-Like Emission of Pions by Photons in a Lorentz-Violating Theory
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• An Application of Lorentz Invariance Violation in Black Hole Thermodynamics
• Precession of spheroids under Lorentz violation and observational consequences for neutron stars
• Exploration of Lorentz violation in neutral-kaon decay
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Reconciling anomalous measurements in $B_s-{\bar{B}}_s$ mixing: the role of CPT-conserving and CPT-violating new physics
• Testing Lorentz Invariance Using an Odd-Parity Asymmetric Optical Resonator
• Investigating Lorentz Violation with the long baseline experiment P2O
• Lorentz and CPT violation in the Neutrino Sector
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• Propagation of photons and massive vector mesons between a parity breaking medium and vacuum
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• Charged lepton electric dipole moment enhancement in the Lorentz violated extension of the standard model
• Testing Lorentz-symmetry violation via electroweak decays
• Topological chiral currents in the Gross-Neveu model extension
• Tests of Lorentz Invariance
• No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
• Eikonal equation of the Lorentz-violating Maxwell theory
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• On skewon modification of light cone structure
• Tests of Lorentz symmetry in single beta decay
• Dark matter candidate with well-defined mass and couplings
• IR Horava-Lifshitz gravity coupled to Lorentz violating matter: A spectral action approach
• The Phantom of the OPERA: Superluminal Neutrinos
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Quasi-Stationary Solutions in Gravity Theories with Modified Dispersion Relations and Finsler-Lagrange-Hamilton Geometry
• NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
• One-loop structure of the photon propagator in the Standard Model Extension
• Higher-order one-loop renormalization in the spinor sector of minimal LV extended QED
• Test of the Equivalence Principle in the Dark Sector on Galactic Scales
• Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
• Looking for a theory of faster-than-light particles
• Non-Relativistic Approximation of Dirac Equation for Slow Fermions Coupled to the Chameleon and Torsion Fields in the Gravitational Field of the Earth
• On the duality in four-dimensional Lorentz-breaking field theories
• Constraints on Lorentz-invariance violation in the neutrino sector from the ultrahigh-energy event KM3-230213A
• Gauge anomalies in Lorentz-violating QED
• Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics
• Cosmic-ray fermion decay through tau-antitau emission with Lorentz violation
• Relativistic deformed kinematics from locality conditions in a generalized spacetime
• Perspectives on Lorentz and CPT Violation
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Two-sided constraints on Lorentz Invariance violation from Tibet-AS$\gamma$ and LHAASO Very-High-Energy photon observations
• On Neutrino Flavor States
• Emergent Lorentz Signature, Fermions, and the Standard Model
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• Lorentz-violating effects in three-dimensional $QED$
• On the self-consistency of compact objects in Lorentz-violating gravity theories
• Basic randomness of nature and ether-drift experiments
• Equivalence Principle in Classical and Quantum Gravity
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Defining of three-dimensional acceleration and inertial mass leading to the simple form F=MA of relativistic motion equation
• Constraining GUP Models Using Limits on SME Coefficients
• CPT and Lorentz violation en the Photon and $Z$-boson sector
• Time delays, choice of energy-momentum variables and relative locality in doubly special relativity
• Lorentz-breaking Rarita-Schwinger model
• Constraining Lorentz Invariance Violation with Next-Generation Long-Baseline Experiments
• Bimetric QED
• Comprehensive study of Lorentz invariance violation in atmospheric and long-baseline experiments
• Enhancing test precision for local Lorentz symmetry violation with entanglement
• Twin Peaks: A possible signal in the production of resonances beyond special relativity
• Lorentz-violating scalar Hamiltonian and equivalence principle in a static metric
• Low-energy Phenomenology Of Scalarless Standard-Model Extensions With High-Energy Lorentz Violation
• Remarks on the static potential in theories with Lorentz violation terms
• Fermion effective dispersion relation for z=2 Lifshitz QED
• CPT violation and triple-product correlations in B decays
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Hadronic Lorentz Violation in Chiral Perturbation Theory Including the Coupling to External Fields
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• Factoring the Dispersion Relation in the Presence of Lorentz Violation
• Effects of the Violation of the Equivalence Principle at DUNE
• Testing Lorentz invariance of dark matter with satellite galaxies
• A simple model of pointlike spacetime defects and implications for photon propagation
• Lorentz-violating quantum electrodynamics in two-dimensional aether-superspace
• Objective realism and freedom of choice in relativistic quantum field theory
• A new bound on Lorentz violation based on the absence of vacuum Cherenkov radiation in ultra-high energy air showers
• Spherical-harmonic tensors
• The uninvited guest in mixed derivative Hořava Gravity
• New limits on the local Lorentz invariance violation of gravity in the Standard-Model Extension with pulsars
• Bounds on higher-order Lorentz-violating photon sector coefficients from an asymmetric optical ring resonator experiment
• Emergent Gauge Symmetries and Particle Physics
• Signature of Einstein-Cartan theory
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Distance Between Quantum Field Theories As A Measure Of Lorentz Violation
• Constraining the Mass Scale of a Lorentz-Violating Hamiltonian with the Measurement of Astrophysical Neutrino-Flavor Composition
• Effective potential in Lorentz-breaking field theory models
• Impact of Cosmology on Lorentz Invariance Violation Constraints from GRB Time-Delays
• Proposal for an optical interferometric measurement of the gravitational red-shift with satellite systems
• Spontaneous color polarization as a modus originis of the dynamic aether
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Prospects for Lorentz Invariance Violation searches with top pair production at the LHC and future hadron colliders
• Gravitational mass-shift effect in the Standard Model
• On measurement of the isotropy of the speed of light
• Lorentz violation footprints in the spectrum of high-energy cosmic neutrinos: Deformation of the spectrum of superluminal neutrinos from electron-positron pair production in vacuum
• Investigation of the Lorentz invariance violation in two-neutrino double-beta decay
• On metric-affine bumblebee model coupled to scalar matter
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Bounds on Lorentz-violating Yukawa couplings via lepton electromagnetic moments
• Local Lorentz invariance tests for photons and hadrons at the Gamma Factory
• Bounding Lorentz Violation at Particle Colliders By Tracking the Motion of Charged Particles
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Space-time thermodynamics in momentum dependent geometries
• Perturbative unitarity and higher-order Lorentz symmetry breaking
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Nonperturbative Lorentz Violation and Field Quantization
• Beyond quantum mechanics? Hunting the 'impossible' atoms (Pauli Exclusion Principle violation and spontaneous collapse of the wave function at test)
• Relativistic deformed kinematics: from flat to curved spacetimes
• Lorentz and CPT violation in the Standard-Model Extension
• The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics
• Short-range forces due to Lorentz-symmetry violation
• Low-Energy Lorentz Invariance in Lifshitz Nonlinear Sigma Models
• Planck-scale deformation of CPT and particle lifetimes
• GINGER
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry
• Dual embedding of extended models with a Lorentz-breaking mass term
• Lorentz-violating gravity and the bootstrap procedure
• Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
• Gupta-Bleuler's quantization of a parity-odd CPT-even electrodynamics of the standard model extension
• AEther as an Inevitable Consequence of Quantum Gravity
• Lorentz invariance violation as an explanation of muon excess in Auger data
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• Lorentz violation with an invariant minimum speed as foundation of the uncertainty principle in Minkowski, dS and AdS spaces
• Aspects of Emergent Symmetries
• Testing Fundamental Physics in Antihydrogen Experiments
• Correlations between emission events in Rainbow Gravity
• Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory
• Higher-order one-loop contributions in Lorentz-breaking QED
• Are Cosmic Rays still a valuable probe of Lorentz Invariance Violations in the Auger era?
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources
• Two-detector flavor sensitivity to ultra-high-energy cosmic neutrinos
• Manifestations of dark matter and variations of fundamental constants in atoms and astrophysical phenomena
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• Probing CPT Violation in B Systems
• Quasi-relativistic fermions and dynamical flavour oscillations
• Antimatter, the SME, and Gravity
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex
• Lorentz Violation of the Photon Sector in Field Theory Models
• Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
• $C{P}^{(N-1)}$ model in aether-superspace
• Lorentz violation in nucleon electromagnetic moments
• Elastic light-by-light scattering in a nonminimal Lorentz violation scenario
• Quark-sector Lorentz violation in $Z$-boson production
• Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
• Improved Bounds on Lorentz Symmetry Violation From High-Energy Astrophysical Sources
• Searches for violation of Lorentz invariance in top quark pair production using dilepton events in 13 TeV proton-proton collisions
• Constraints on spacetime anisotropy and Lorentz violation from the GRAAL experiment
• Weakness of accelerator bounds on electron superluminality without a preferred frame
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Beyond the Standard Model of Physics with Astronomical Observations
• $B_s\to D_{s}K$ as a Probe of CPT Violation
• Detailed studies of ${}^{100}$Mo two-neutrino double beta decay in NEMO-3
• Bogoliubov space of a Bose--Einstein condensate and quantum spacetime fluctuations
• Radiation from an Oscillating Dipole in the Presence of Photon-Sector CPT and Lorentz Violation
• The Physics Case for Axions, WIMPs, WISPs and Other Weird Stuff
• New Chance for Researches on Lorentz Violation
• On the Bhabha scattering for $z=2$ Lifshitz QED
• Test of Lorentz invariance in $\beta$ decay of polarized ${}^{20}\text{Na}$
• Lorentz violation parameters and noncommutative scale
• Breaking of Lorentz Invariance in Electron-Proton Parity Violation
• Formal Developments for Lorentz-Violating Dirac Fermions and Neutrinos
• Exploring Anisotropic Lorentz Invariance Violation from the Spectral-Lag Transitions of Gamma-Ray Bursts
• Moment of Inertia for Axisymmetric Neutron Stars in the Standard-Model Extension
• Holographic Lifshitz flows
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Constraining parity and Lorentz violations in gravity with future ground- and space-based gravitational wave detectors
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity
• Doubly special relativity as a non-local quantum field theory
• Search for Lorentz-violation through sidereal effect at NOνA Experiment
• Lorentz-violating extension of scalar QED at finite temperature
• Probing the interference between non-linear, axionic and space-time-anisotropy effects in the QED vacuum
• Lorentz Breaking and SU(2)_L x U(1)_Y Gauge Invariance for Neutrino Decays
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• The light speed vs the observer: the Kennedy-Thorndike test from GRAAL-ESRF
• Consistency of an alternative CPT-odd and Lorentz-violating extension of QED
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Future prospects of testing Lorentz invariance with UHECRs
• Effective fermion kinematics from a modified quantum gravity
• Gravitational mass of relativistic matter and antimatter
• Effects of Lorentz Symmetry Violation in the Spectra of Rare-Earth Ions in a Crystal Field
• Torsion-Gravity for Dirac fields and their effective phenomenology
• Energy Positivity, Non-Renormalization, and Holomorphy in Lorentz-Violating Supersymmetric Theories
• Remarks on the harmonic oscillator with a minimal position uncertainty
• Challenges Confronting Superluminal Neutrino Models
• Braneworlds in bumblebee gravity
• Search for η'(958)-nucleus bound states by (p,d) reaction at GSI and FAIR
• Aspects and applications of nonlocal Lorentz-violation
• Connect the Lorentz Violation to the Glashow Resonance Event
• Stringent constraint on CPT violation with the synergy of T2K-II, NO$\nu$A extension, and JUNO
• Axion-Photon Interaction from Nonminimal Dimension-5 Lorentz-Violating Operators
• Probing the limits of quantum theory with quantum information at subnuclear scales
• A limit on the anisotropy of the one-way maximum attainable speed of the electron
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• Equations for massless and massive spin-1/2 particles with varying speed and neutrino in matter
• Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension
• Meson scattering in a Lorentz-violating scalar QED at finite temperature
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Towards Time Reversal Symmetry Test with o-Ps Decays using the J-PET detector
• A Slant on Warped Extra Dimensions
• CPT invariance and neutrino physics
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• Corrections to the Gyromagnetic Factor in Very Special Relativity
• Cosmological constraints on Lorentz invariance violation in the neutrino sector
• On the algebraic approach to GUP in anisotropic space
• Probing for Lorentz Invariance Violation in Pantheon Plus Dominated Cosmology
• Quantum superpositions of the speed of light
• Gravitating tensor monopole in a Lorentz-violating field theory
• Gravitational waves in a minimal gravitational SME
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Pulsar tests of the gravitational Lorentz violation
• The CPT-violating effects on neutrons' gravitational bound state
• Constraining CPT-odd electromagnetic chiral parameters with pulsar timing
• Neutrinos as possible probes for quantum gravity
• Triangular Ring Resonator: Direct measurement of the parity-odd parameters of the photon sector of SME
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Sensitivity of atmospheric neutrinos in Super-Kamiokande to Lorentz violation
• 1/N Expansion for Horava-Lifshitz like four-fermion models
• A test of local Lorentz invariance with Compton scattering asymmetry
• Induced Cosmological Anisotropies and CMB Anomalies by a non-Abelian Gauge-Gravity Interaction
• Quantum mechanics, matter waves, and moving clocks
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Matter-Antimatter Asymmetry in the Universe via String-Inspired CPT Violation at Early Eras
• Non-Abelian extension of the aether term and the Gribov problem
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
• A feasibility study of the time reversal violation test based on polarization of annihilation photons from the decay of ortho-Positronium with the J-PET detector
• Could the photon dispersion relation be non-linear ?
• CPT and Lorentz violation as signatures for Planck-scale physics
• Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D
• Top Hadrons in Lorentz-Violating Field Theory
• Dyson-Schwinger equation approach to Lorentz Symmetry Breaking with finite temperature and chemical potential
• Residual gauge-invariance in a massive Lorentz-violating extension of QED
• Atomic and optical tests of Lorentz symmetry
• Implications of Lorentz symmetry violation on a 5D supersymmetric model
• Testing energy non-additivity in white dwarfs
• Renormalization in QED and QFT with a Lorentz- and CPT-violating backgrounds
• Direct-coupling lensing by antisymmetric tensor monopoles
• Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
• Non-local quantum field theory from doubly special relativity
• Lorentz violating backgrounds from quadratic, shift-symmetric, ultralight dark matter
• Neutrino Lorentz invariance violation from the CPT-even SME coefficients through a tensor interaction with cosmological scalar fields
• Long-baseline neutrino experiments as tests for Lorentz violation
• Particle-antiparticle asymmetry from magnetogenesis through the Landau mechanism
• Assessment of the experimental support for differential simultaneity
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Are inertial vacua equivalent in Lorentz-violating theories? Does it matter?
• Cosmic Neutrinos as a Window to Departures from Special Relativity
• Exploring black hole mechanics in cotangent bundle geometries
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• Lorentz and CPT Tests using Penning Traps
• Superluminal Neutrinos in the Minimal Standard Model Extension
• Bounds on Vacuum-Orthogonal Lorentz and CPT Violation from Radiative Corrections
• CPT- and Lorentz-Violation Tests with Muon g-2
• A Novel Foamy Origin for Singlet Fermion Masses
• Lorentz Violation in Fermion-Antifermion Decays of Spinless Particles
• Quantum Resource Theory for Charge-Parity-Time Inversion
• Effects of high-order operators in non-relativistic Lifshitz holography
• On testing violations of Bose and $CPT$ symmetries via Dalitz plots and Dalitz `prism'
• Spacetime Noncommutativity in Models with Warped Extradimensions
• On massless and spinless particles with varying speed
• On one-loop corrections in the non-minimal dimension-five extension of QED
• The space-time torsion in the context of the Exact Foldy-Wouthuysen Transformation for a Dirac fermion
• Accretion of matter of a new bumblebee black hole
• Investigating Lorentz Invariance Violation Effects on CP Violation and Mass Hierarchy sensitivity at DUNE
• Late-time Cosmology without Dark Sector but with Closed String Massless Sector
• Testing Lorentz symmetry with atoms and Light
• Limits on Spherical Coefficients in the Minimal-SME Photon Sector
• Hyperfine spectroscopy of antihydrogen, hydrogen, and deuterium
• Reconciling LSND and super-Kamiokande data through the dynamical Lorentz symmetry breaking in a four-Majorana fermion model
• Lorentz-covariant sampling theory for fields
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Signatures of asymmetry: Gravitational wave memory and the parity violation
• Lorentz Violation with Gravitational Waves: Constraints from NANOGrav and IPTA Data
• Hunting for vampires and other unlikely forms of parity violation at the Large Hadron Collider
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
• Inflationary perturbations with Lifshitz scaling
• The Standard-Model Extension and Gravitational Tests
• Tree-level unitarity, causality and higher-order Lorentz and CPT violation
• Recent Progress in Lorentz and CPT Violation
• Particle propagation on spacetime manifolds with static defects
• Modified Euler-Heisenberg effective action and Proper-Time Method in Lorentz-Violating Scalar QED
• Remarks on a Lorentz-breaking 4D chiral gauge theory
• Effects of pseudoscalar condensation on the cooling of neutron stars
• Measurement of the ${\text{1}}^{\text{3}}{\text{S}}_{\text{1}}\to {\text{2}}^{\text{3}}{\text{S}}_{\text{1}}$ interval in positronium using field-ionization of Rydberg states
• Contributions of a Modified Electrodynamics to the Molecular Biochirality
• Probing Lorentz invariance with a high-energy neutrino flare
• Lorentz invariant nonzero minimal uncertainty in position and inhomogeneity of space at the Planck scale
• Enhanced effects of the Lorentz invariance and Einstein equivalence principle violation in 229Th nuclear transition
• Vacuum structure and ether-drift experiments
• Search for the $U$ boson in the process $e^{+}{e}^{-}\to U\gamma$, $U\to e^{+}{e}^{-}$ with the KLOE detector
• Bilateral constraints on proton Lorentz violation effects
• Positronium and Muonium 1S-2S Laser Spectroscopy as a Probe for the Standard-Model Extension
• Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Terrestrial vs. spaceborne, quantum vs. classical tests of the equivalence principle
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Tests of Lorentz symmetry
• What does it take to solve the measurement problem?
• Kaon physics with the KLOE detector
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Effects of new physics in neutrino propagation
• A Bit Rate Bound on Superluminal Communication
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Considerations Concerning the Little Group
• Perturbative S-matrix unitarity and higher-order Lorentz violation
• Antihydrogen, CPT, and Naturalness
• Characteristic tensors for almost Finsler manifolds
• Experimental hint for gravitational CP violation
• Nonminimal Lorentz Violation in Macroscopic Matter
• Comments on Lorentz and CPT Violation
• Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
• One-loop Euler-Heisenberg action in Lorentz-violating QED revisited
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• Gravitational aspects of a new bumblebee black hole
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
• Quantizing non-projectable Hořava gravity with Lagrangian path integral
• Study of KS semileptonic decays and CPT test with the KLOE detector
• Discussion on Lorentz Invariance Violation of Non-commutative Field Theory and Neutrino Oscillation
• Photon emission by an electron in a constant background field modeling a Lorentz-noninvariant vacuum
• Simulation Study on Constraining GW Propagation Speed by GW and GRB Joint Observation on Binary Neutron Star Mergers
• Limits on the Carroll-Field-Jackiw electrodynamics from geomagnetic data
• Probing Lorentz Invariance Violation with Neutrino Factories
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-even dimension-5 terms
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Slow Muons and Muonium
• Gravity Sector of the SME
• Higher-order Lorentz violation
• Acoustic tests of Lorentz symmetry using Bulk Acoustic Wave quartz oscillators
• CPT-Violating, Massive Photons and Cherenkov Radiation
• Testing the universality of quantum gravity theories with cosmic messengers in the context of DSR theories
• Matters of Gravity, The Newsletter of the Division of Gravitational Physics of the American Physical Society, Volume 48, December 2016
• Searching for Axion Dark Matter in Atoms: Oscillating Electric Dipole Moments and Spin-Precession Effects
• No Flavor Anisotropy in the High-Energy Neutrino Sky Upholds Lorentz Invariance
• Aspects of Black Holes in Gravitational Theories with Broken Lorentz and Diffeomorphism Symmetries
• CPT-symmetry studies with antihydrogen
• The self-dual Lorentz violating model: quantization, scattering and dual equivalence
• Lorentz violation and Condensed Matter Physics
• Induced CP-violation in the Euler-Heisenberg Lagrangian
• Theory of the line shape of the 1S--2S transition for magnetically trapped antihydrogen
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology
• Higher-order Lorentz violations in electrodynamics
• Lorentz-symmetry violation in the electroweak sector: scattering processes in future $e^{+}{e}^{-}$ colliders
• Studies of the $\omega$ meson with the KLOE detector
• Fermionic quantum gas at finite temperature within a Lorentz violating background
• Limits on Lorentz violation in neutral-Kaon decay
• Parity Breaking Medium and Squeeze Operators
• Measurement of the Transition Form Factor in $\varphi \to {\pi }^0{e}^{+}{e}^{-}$ with the KLOE detector
• Quantum gravity phenomenology and the blackbody radiation
• Lorentz Breaking and Gravity
• Using a rotating magnetic guiding field for the 3He-129Xe-Comagnetometer
• A novel test of Lorentz violation in the photon sector with an LC circuit
• Gravity from Breaking of Local Lorentz Symmetry
• Lorentz Symmetry, the SME, and Gravitational Experiments
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen
• Photon Absorption in a Doubly Special Relativity Model with Undeformed Free Propagation and Total Momentum Conservation
• Pushing the Energy and Cosmic Frontiers with High-Energy Astrophysical Neutrinos
• Ambiguities in the generation of CFJ-terms in a QED with dimension-5 operators in one loop
• Lorentz-invariant and Lorentz-non-invariant aspects of a scalar tachyon field Lagrangian and the scalar tachyon Feynman propagator
• Demonstration of deuterium's enhanced sensitivity to symmetry violations governed by the Standard-Model Extension
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints
• Primordial observables of explicit diffeomorphism violation in gravity
• Nonrelativistic effective potential of the bumblebee model
• Constraining Lorentz and parity violations in gravity with multiband gravitational wave observations
• Coupling Right- and Left-Handed Photons Differently to Charged Matter
• Quark sector effects and glueball mass sensitivity estimates in Lorentz-violating supersymmetric QCD-like theories
• Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling
• Extended Theories of Electrodynamics in $f(R)$ Gravity
• Stellar Bounds on a Model with Photon-Photino Oscillation
• Relativistic spin precession in homogeneous background fields
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Physics in a general length space-time geometry: Call for experimental revision of the light speed anisotropy
• New constraints on CPT symmetry violation in charm mesons
• Matters of Gravity, The Newsletter of the Topical Group in Gravitation of the American Physical Society, Volume 30, Fall 2007
• Consequences of Spontaneous Lorentz Violation in Gravity
• On anisotropy of the maximum attainable speed of low-mass particles
• Prospects for Testing Lorentz and CPT Invariance in the Top-Quark Sector
• Lorentz-Violating QCD Corrections to Deep Inelastic Scattering
• Impact of Lorentz violation models on exoplanets dynamics
• Hyper-relativistic mechanics and superluminal particles
• Lorentz Invariance Violation and IceCube Neutrino Events
• Lorentz symmetry in ghost-free massive gravity
• Penning-Trap Searches for Lorentz and CPT Violation
• Probing Lorentz Symmetry with Gravitationally Coupled Matter
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models
• Developments in Lorentz and CPT Violation
• Nonminimal Lorentz-Violating Extensions of Gauge Field Theories
• Matters of Gravity, The Newsletter of the Topical Group in Gravitation of the American Physical Society, Volume 28, Fall 2006
• Searching for Lorentz violation in high-energy colliders
• Neutral Mesons and Nonminimal CPT Violation
• Aspects of astrophysical particle production and beyond the Standard Model phenomenology
• Do photons travel faster than gravitons?
• Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson
• Comparative Penning-Trap Tests of Lorentz and CPT Symmetry
• Lorentz Violation and Gravity
• Optical diode based on the one-way light-speed anisotropy
• Renormalization in Nonminimal Lorentz-Violating Field Theory
• Lorentz Violation and Radiative Corrections in Gauge Theories
• Study of the one-way speed of light anisotropy with particle beams
• The refractive index of the vacuum and the dark sector
• Dynamical Lorentz symmetry breaking in a 4D four-fermion model at finite temperature
• A note on a new paradox in superluminal signalling
• Spontaneous Breaking of (2+1)-dimensional Lorentz Symmetry by an antisymmetric tensor
• Testing Lorentz Symmetry using Chiral Perturbation Theory
• Ultra-High Energy Astrophysical Neutrino Detection, and the Search for Lorentz Invariance Violations
• Nonminimal Lorentz-Violating Effects in Photon Physics
• Strongly Enhanced Effects of Lorentz-Symmetry Violation in Yb${}^{+}$ and Highly Charged Ions
• An algorithm for quantum gravity phenomenology
• Lorentz and CPT Violation in Top-Quark Production
• Non-Hermitian Lagrangian for quasi-relativistic fermions
• Relativity tests and their motivation
• What do we know about Lorentz Symmetry?
• Quantum Physics in Space
• Spontaneous Lorentz symmetry violation from infrared gravity
• A relation between deformed superspace and Lee-Wick higher-derivative theories
• Gravity Effects on Antimatter in the Standard-Model Extension
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• Lorentz-violating photons with a mass term
• Cosmology in the presence of diffeomorphism-violating, nondynamical background fields