Gravity, Lorentz Violation, and the Standard Model

Abstract

The role of the gravitational sector in the Lorentz- and CPT-violating Standard-Model Extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting cases the usual Riemann and Minkowski geometries. The methodology is first illustrated in the context of the QED extension in a Riemann-Cartan background. The full SME in this background is then considered, and the leading-order terms in the SME action involving operators of mass dimension three and four are constructed. The incorporation of arbitrary Lorentz and CPT violation into general relativity and other theories of gravity based on Riemann-Cartan geometries is discussed. The dominant terms in the effective low-energy action for the gravitational sector are provided, thereby completing the formulation of the leading-order terms in the SME with gravity. Explicit Lorentz symmetry breaking is found to be incompatible with generic Riemann-Cartan geometries, but spontaneous Lorentz breaking evades this difficulty.

21 pages REVTeX, references added, accepted in Physical Review D

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• Testing EGB gravity coupled to bumblebee field and black hole parameter estimation with EHT observations
• Gravitational waves effects in a Lorentz-violating scenario
• Slow-roll inflation in generalized scalar-torsion gravity
• Unitarity in a Lorentz symmetry breaking model with higher-order operators
• Revealing neutrino nature and $CPT$ violation with decoherence effects
• Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology
• Matter-antimatter asymmetry without departure from thermal equilibrium
• Dynamical Lorentz symmetry breaking and topological defects
• On the Lorentz-breaking theory with higher derivatives in spinor sector
• Influence of Lorentz violation on Dirac quasinormal modes in the Schwarzschild black hole spacetime
• Lorentz violation and black-hole thermodynamics: Compton scattering process
• Accretion of the Vlasov gas onto a Schwarzschild-like black hole
• Constrained Gauge Fields from Spontaneous Lorentz Violation
• Generation of higher derivatives operators and electromagnetic wave propagation in a Lorentz-violation scenario
• Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking
• Lorentz violation and deep inelastic scattering
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• Testing Lorentz Invariance of Gravity in the Standard Model Extension with GWTC-3
• Physics with Reactor Neutrinos
• CPT Violation and Decoherence in Quantum Gravity
• BOOST -- A Satellite Mission to Test Lorentz Invariance Using High-Performance Optical Frequency References
• Bounds on Spin-Dependent Lorentz Violation From Inverse Compton Observations
• Measuring the Speed of Gravitational Waves from the First and Second Observing Run of Advanced LIGO and Advanced Virgo
• GPS test of the local position invariance of Planck's constant
• Rotating Odd-Parity Lorentz Invariance Test in Electrodynamics
• High dimensional AdS-like black hole and Phase transition in Einstein-bumblebee gravity
• Bianchi type I cosmology with a Kalb-Ramond background field
• Spontaneous Lorentz symmetry breaking effects on GRBs jets arising from neutrino pair annihilation process near a black hole
• Classical kinematics for isotropic, minimal Lorentz-violating fermion operators
• Spontaneous Breaking of Lorentz Symmetry with an antisymmetric tensor
• There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
• Particle creation and evaporation in Kalb-Ramond gravity
• Gödel-type universes in bumblebee gravity
• Disentangling Forms of Lorentz Violation With Complementary Clock Comparison Experiments
• Finslerian MOND vs. observations of Bullet Cluster 1E0657-558
• Spontaneous breaking of Lorentz symmetry in $(2+\epsilon )$-dimensional QED
• Vector field theories in cosmology
• Matter-Sector Lorentz Violation in Binary Pulsars
• Quasinormal modes of the spherical bumblebee black holes with a global monopole
• Testing local position and fundamental constant invariance due to periodic gravitation and boost using long-term comparison of the SYRTE atomic fountains and H-masers
• Neutrinos as probes of Lorentz invariance
• Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
• Chern-Simons modified gravity and closed time-like curves
• On the ambiguities in the effective action in Lorentz-violating gravity
• Lorentz Symmetry Derived from Lorentz Violation in the Bulk
• Diffuse Ultra-High Energy Neutrino Fluxes and Physics Beyond the Standard Model
• All orders renormalizability of a Lorentz and CPT violating quantum electrodynamics
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Lorentz-violating modification of Dirac theory based on spin-nondegenerate operators
• An extended solution space for Chern-Simons gravity: the slowly rotating Kerr black hole
• Bumblebee gravity and particle motion in Snyder noncommutative spacetime structures
• Search for Lorentz Invariance Violation from stacked Gamma-Ray Burst spectral lag data
• Study of Einstein-bumblebee gravity with Kerr-Sen-like solution in the presence of a dispersive medium
• Constraining the Lorentz-Violating Bumblebee Vector Field with Big Bang Nucleosynthesis and Gravitational Baryogenesis
• $\gamma$-ray polarimetry with conversions to $e^{+}{e}^{-}$ pairs: polarization asymmetry and the way to measure it
• Bose-Einstein Condensates as a Probe for Lorentz Violation
• On the causality aspects of the dynamical Chern-Simons modified gravity
• Hawking radiation with dispersion: The broadened horizon paradigm
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Maxwell-Kostelecký Electromagnetism and Cosmic Magnetization
• Lorentz violation in a uniform newtonian gravitational field
• Chiral Anomaly Beyond Lorentz Invariance
• Astrophysical Constraints on the Bumblebee Model
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Neutrino Oscillations and Lorentz Invariance Violation
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
• Explicit Lorentz violation in a static and spherically-symmetric spacetime
• Lorentz Violation and Sagnac Gyroscopes
• Homogeneously Modified Special Relativity (HMSR) -- A new possible way to introduce an isotropic Lorentz Invariance Violation in particle Standard Model
• Well-posed Cauchy formulation for Einstein-æther theory
• Limits on CPT violation from solar neutrinos
• Inertial frames without the relativity principle
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Limits on Neutron Lorentz Violation from Pulsar Timing
• Two-dimensional gravity with a dynamical aether
• Probing CPT violation in meson mixing by non-cyclic phase
• Search for a time-varying electron antineutrino signal at Daya Bay
• Lorentz violating kinematics: Threshold theorems
• Gauge invariant electromagnetic properties of fermions induced by CPT violation in the Standard Model Extension
• Fermion observables for Lorentz violation
• Probing of violation of Lorentz invariance by ultracold neutrons in the Standard Model Extension
• Induced Lorentz-violating terms at finite temperature
• Lorentz violation effects in two neutrino double-beta decay
• Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
• Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
• Covariant Quantization of CPT-violating Photons
• Graviton as a Goldstone boson: Nonlinear Sigma Model for Tensor Field Gravity
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
• Searching for CPT Violation with Neutral-Meson Oscillations
• Testing Lorentz and CPT invariance with neutrinos
• Einstein-aether as a quantum effective field theory
• Superradiant instability of the Kerr-like black hole in Einstein-bumblebee gravity
• Gauge Field Theory in the Infrared Regime
• The full CPT-even photon sector of the Standard Model Extension at finite temperature
• Cosmological Evolution of Fundamental Constants: From Theory to Experiment
• Modified-gravity theories with nondynamical background fields
• Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity
• Weak field deflection angle and analytical parameter estimation of the Lorentz-violating Bumblebee parameter through the black hole shadow using EHT data
• Constraining Horava-Lifshitz gravity from neutrino speed experiments
• The anti-proton charge radius
• One-loop nonbirefringent effects on the electromagnetic vertex in the Standard Model Extension
• Lorentz Violation and the Yukawa Potential
• The Källén-Lehmann representation for Lorentz-violating field theory
• Gravity, entanglement and CPT-symmetry violation in particle mixing
• Bounds on Cubic Lorentz-Violating Terms in the Fermionic Dispersion Relation
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Observational signature of Lorentz violation in acceleration radiation
• Spacetime Symmetry Breaking and Einstein-Maxwell Theory
• Thermodynamics of a quantum ring modified by Lorentz violation
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• The relation between general relativity and a class of Hořava gravity theories
• Anisotropic cubic curvature couplings
• Dynamic instability analysis for bumblebee black holes: the odd parity
• Three Waves for Quantum Gravity
• Quantum gravitational states of ultracold neutrons as a tool for probing of beyond-Riemann gravity
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Quantum Gauge Freedom in Very Special Relativity
• Exact modifications on a vacuum spacetime due to a gradient bumblebee field at its vacuum expectation value
• Lorentz Symmetry Violation and Galactic Magnetism
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Inflation as an amplifier: the case of Lorentz violation
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension
• Gravity with Explicit Diffeomorphism Breaking
• Induced gravitational topological term and the Einstein-Cartan modified theory
• Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation
• Gravitational quasinormal modes of black holes in Einstein-aether theory
• Two approaches to testing general relativity in the strong-field regime
• Velocity-dependent inverse cubic force and solar system gravity tests
• Explicit spacetime-symmetry breaking and the dynamics of primordial fields
• Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
• Cosmological birefringent constraints on light
• First-order classical Lagrangians for the nonminimal Standard-Model Extension
• Frequency- and polarization-dependent lensing of gravitational waves in strong gravitational fields
• Dynamical ambiguities in models with spontaneous Lorentz violation
• Cavity Bounds on Higher-Order Lorentz-Violating Coefficients
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Dynamical Chern-Simons modified gravity, Godel Universe and variable cosmological constant
• Chern-Simons Gravity with (Curvature)${}^2$- and (Torsion)${}^2$-Terms and A Basis of Degree-of-Freedom Projection Operators
• Constraining the loop quantum gravity parameter space from phenomenology
• Birkhoff's theorem for stable torsion theories
• Photon propagator for axion electrodynamics
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model
• Global monopole in a Ricci-coupled Kalb-Ramond bumblebee gravity
• Tests of Lorentz Violation in Atomic and Optical Physics
• Synchrotron Radiation in the Standard Model Extension
• The Cosmic Microwave Background And Pseudo-Nambu-Goldstone Bosons: Searching For Lorentz Violations In The Cosmos
• Neutron stars in the bumblebee theory of gravity
• Bipartite-Finsler symmetries
• Effects of Lorentz violation through the $\gamma e\to W{\nu }_e$ process in the Standard Model Extension
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Lorentz Violation in Warped Extra Dimensions
• Implications of $\text{SU}(2{)}_L$ gauge invariance for constraints on Lorentz violation
• Torsion as a Dark Matter Candidate from the Higgs Portal
• Lorentz-violating Yang-Mills theory: discussing the Chern-Simons-like term generation
• Three-dimensional Lorentz-violating action
• Gravity gradient suppression in spaceborne atomic tests of the equivalence principle
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Tests of Quantum Gravity-Induced Non-Locality via Opto-mechanical Experiments
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Static Frame
• Neutron star sensitivities in Hořava gravity after GW170817
• On Gravity localization under Lorentz Violation in warped scenario
• Remarks on the renormalization properties of Lorentz and CPT violating quantum electrodynamics
• A field theory in Randers-Finsler spacetime
• From physical symmetries to emergent gauge symmetries
• Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
• Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
• Probing the Effects of Lorentz-Symmetry Violating Chern-Simons and Ricci-Cotton Terms in Higher Derivative Gravity
• Lorentz symmetry breaking effects on relativistic EPR correlations
• Dynamical Lorentz symmetry breaking in a 4D massless four-fermion model
• Thermodynamics of Schwarzschild-AdS black hole in non-commutative geometry
• Parametrized post-Newtonian limit of the Nieh-Yan modified teleparallel gravity
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Testing CPT violation with correlated neutral mesons
• Lorentz covariant statistical mechanics and thermodynamics of the relativistic ideal gas and preferred frame
• Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
• Effects of CPT and Lorentz Invariance Violation on Pulsar Kicks
• Cavity tests of parity-odd Lorentz violations in electrodynamics
• Unambiguous Quantum Gravity Phenomenology Respecting Lorentz Symmetry
• A teleparallel model for the neutrino
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• Gravitational wave constraints on non-birefringent dispersions of gravitational waves due to Lorentz violations with GWTC-3
• Neutron Star Structure in the Minimal Gravitational Standard-Model Extension and the Implication to Continuous Gravitational Waves
• Lorentz violation and higher-derivative gravity
• Is there any symmetry left in gravity theories with explicit Lorentz violation?
• On the CPT-even Lorentz-breaking extension of the QED
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
• Cosmic magnetization in curved and Lorentz violating space-times
• On Black Hole Echoes
• Experimental search for a Lorentz invariant spacetime granularity: Possibilities and bounds
• Kasner cosmology in bumblebee gravity
• Extended analysis for the Evolution of the Cosmological history in Einstein-aether Scalar Field theory
• Precision tests of General Relativity with Matter Waves
• Lorentz-violating effects on pair production of W bosons in photon collisions
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Relativistic Finsler geometry
• Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory with the complete set of CPT-Lorentz violating terms
• Testing gravity with Extreme-Mass-Ratio Inspirals
• Lorentz Violation and Alpha-Decay
• Mirrors and field sources in a Lorentz-violating scalar field theory
• Supersymmetry Breaking in Spatially Modulated Vacua
• Exact black hole solutions in gravity with a background Kalb-Ramond field
• Probing Lorentz Invariance Violation with Atmospheric Neutrinos at INO-ICAL
• Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
• Lorentz Violation and Faddeev-Popov Ghosts
• Gravitational Searches for Lorentz Violation with Ultracold Neutrons
• (Gravitational) Vacuum Cherenkov Radiation
• Double Beta Decay APPEC Committee Report
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Perturbative generation of photon Lorentz violating terms from a pseudo-tensor Lorentz-breaking extension of QED
• Nonthermal acceleration radiation of atoms near a black hole in presence of dark energy
• Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
• Gravity from Local Lorentz Violation
• Signature of Lorentz Violation in Continuous Gravitational-Wave Spectra of Ellipsoidal Neutron Stars
• Spacetime, Spin and Gravity Probe B
• Maxwell-Chern-Simons theory for curved spacetime backgrounds
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance
• Investigating the effects of Lorentz Invariance Violation on the CP-sensitivities of the Deep Underground Neutrino Experiment
• Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
• Search for Lorentz-Invariance Violation with the first KATRIN data
• Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
• Electromagnetism with dimension-five operators
• Astrophysical and Cosmological Searches for Lorentz Invariance Violation
• Energy nonconservation and relativistic trajectories: Unimodular gravity and beyond
• Exploring the CPT violation and birefringence of gravitational waves with ground- and space-based gravitational-wave interferometers
• Einstein-Aether Theory
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• Nambu-Goldstone Modes in Gravitational Theories with Spontaneous Lorentz Breaking
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• Implications of Lorentz violation on Higgs-mediated lepton flavor violation
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms
• Spacetime Variation of Lorentz-Violation Coefficients at Nonrelativistic Scale
• Spontaneous Lorentz violation and asymptotic flatness
• Einstein-Bumblebee-Dilaton black hole solution
• Investigating Lorentz Violation with the long baseline experiment P2O
• Precession of spheroids under Lorentz violation and observational consequences for neutron stars
• On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
• High energy neutrino oscillation at the presence of the Lorentz Invariance Violation
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Lorentz Invariance Violation effects on UHECR propagation: a geometrized approach
• Dimensional reduction of the electromagnetic sector of the nonminimal Standard-Model-Extension
• Lorentz violation and the electron-ion collider
• Probing Lorentz violation in $2\nu \beta \beta$ using single electron spectra and angular correlations
• The decay $b\to s\gamma$ in the presence of a constant antisymmetric tensor field
• Stars and quark stars in bumblebee gravity
• Lorentz-violating Euler-Heisenberg effective action
• IR Horava-Lifshitz gravity coupled to Lorentz violating matter: A spectral action approach
• On Lorentz violation in $e^{-}+e^{+}\to {\mu }^{-}+{\mu }^{+}$ scattering at finite temperature
• NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• One-loop structure of the photon propagator in the Standard Model Extension
• Test of Einstein Equivalence Principle by frequency comparisons of optical clocks
• Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
• Gauge field spectrum in massive Yang-Mills theory with Lorentz violation
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Renormalization in a Lorentz-violating model and higher-order operators
• Particle motion and thermal effects around a Kalb-Ramond black hole
• Measuring violations of General Relativity from single gravitational wave detection by non-spinning binary systems: higher-order asymptotic analysis
• Non-Relativistic Approximation of the Dirac Equation for Slow Fermions in Static Metric Spacetimes
• On skewon modification of light cone structure
• Tests of Lorentz symmetry in single beta decay
• A Review of One-Way and Two-Way Experiments to Test the Isotropy of the Speed of Light
• Eikonal equation of the Lorentz-violating Maxwell theory
• CPT and Lorentz-invariance violation
• Ultra-high energy cosmic rays threshold in Randers-Finsler space
• Nonlinear Dirac Equations
• Dirac neutrino mass from the beta decay end-point modified by the dynamics of a Lorentz-violating equation of motion
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Beta-Decay Spectrum and Lorentz Violation
• Some physical displays of the space anisotropy relevant to the feasibility of its being detected at a laboratory
• Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
• Spin Precession of Slow Neutrons in Einstein-Cartan Gravity with Torsion, Chameleon and Magnetic Field
• On the duality in four-dimensional Lorentz-breaking field theories
• Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
• Do high-energy neutrinos travel faster than photons in a discrete space-time?
• Relativistic invariance of the vacuum
• Testing fundamental physics with photon frequency shift
• High-temperature expansion of the one-loop free energy of a scalar field on a curved background
• Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
• Probing the vector charge of Sagittarius A* with pulsar timing
• On plane wave solutions in Lorentz-violating extensions of gravity
• Lorentz-violating effects in three-dimensional $QED$
• Symmetries from Locality. II. Gravitation and Lorentz Boosts
• Free-falling test particles in a charged Kalb-Ramond black hole: gravitational Doppler effect and tidal forces
• Three- and Four-Point Functions in CPT-Even Lorentz-Violating Scalar QED
• Gauge anomalies in Lorentz-violating QED
• Subgroups of the Group of Generalized Lorentz Transformations and Their Geometric Invariants
• Spontaneous symmetry breaking in models with second-class constraints
• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Non-Relativistic Approximation of Dirac Equation for Slow Fermions Coupled to the Chameleon and Torsion Fields in the Gravitational Field of the Earth
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• Induced Chern-Simons modified gravity at finite temperature
• Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
• Lorentz-violating scalar Hamiltonian and equivalence principle in a static metric
• On the self-consistency of compact objects in Lorentz-violating gravity theories
• Constraining GUP Models Using Limits on SME Coefficients
• Lorentz violation and the speed of gravitational waves in brane-worlds
• Black Hole Radiation with Modified Dispersion Relation in Tunneling Paradigm: Free-fall Frame
• Lorentz-breaking Rarita-Schwinger model
• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• A framework for nonrelativistic isotropic models based on generalized uncertainty principles
• Singular Hamiltonians in models with spontaneous Lorentz symmetry breaking
• A Note on Spontaneously Broken Lorentz Invariance
• Constraining Lorentz Invariance Violation with Next-Generation Long-Baseline Experiments
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Modified Gravitational Equations on Braneworld with Lorentz Invariant Violation
• The Goldstone Theorem in non-linear electrodynamics
• One-loop radiative corrections in bumblebee-Stueckelberg model
• On Poisson Electrodynamics With Charged Fields
• Covariant Effective Action for Antisymmetric Tensor Field
• Weak Gravitational Lensing in Ricci-Coupled Kalb-Ramond Bumblebee Gravity: Global Monopole and Axion-Plasmon Medium Effects
• Dilution of zero point energies in the cosmological expansion
• Spherical-harmonic tensors
• Lorentz and CPT Violation in Partons
• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• Dispersion relation and surface gravity of universal horizons
• Probing CPT violation in neutrino oscillation: A three flavor analysis
• Effective potential in Lorentz-breaking field theory models
• Constraining the Mass Scale of a Lorentz-Violating Hamiltonian with the Measurement of Astrophysical Neutrino-Flavor Composition
• Investigation of the Lorentz invariance violation in two-neutrino double-beta decay
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• Bounding Lorentz Violation at Particle Colliders By Tracking the Motion of Charged Particles
• Polarization modes of gravitational waves in general Einstein-vector theory
• On metric-affine bumblebee model coupled to scalar matter
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Lorentz violation and Gravitoelectromagnetism: Casimir effect and Stefan-Boltzmann law at Finite temperature
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
• Parity-Even and Time-Reversal-Odd Neutron Optical Potential in Spinning Matter Induced by Gravitational Torsion
• Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string spacetime
• Renormalization in theories with modified dispersion relations: weak gravitational fields
• Ponderable aether
• Multimodal signatures of asymptotic (A)dS Kalb-Ramond black holes: Constraints through the shadow, weak deflection angle, and topological photon spheres
• Fundamental Physics and Cosmology with TianQin
• New limits on the local Lorentz invariance violation of gravity in the Standard-Model Extension with pulsars
• Modified gravitational wave propagations in linearized gravity with Lorentz and diffeomorphism violations and their gravitational wave constraints
• Lorentz-violating gravity and the bootstrap procedure
• Particle dynamics and optical appearance of charged spherically symmetric black holes in bumblebee gravity
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms
• Physical interpretation of large Lorentz violation via Weyl semimetals
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Perturbative Aspects of CPT-Even Lorentz-Violating Scalar Chromodynamics
• Nonperturbative Lorentz Violation and Field Quantization
• T Violation and CPT Tests in Neutral-Meson Systems
• Lorentz Violation in Finsler Geometry
• The Integrability of Pauli System in Lorentz Violating Background
• Spin-Statistics Violations in Superstring Theory
• Correlations between emission events in Rainbow Gravity
• Modified Kerr black holes surrounded by dark matter spike
• Squeezing the Parameter Space for Lorentz Violation in the Neutrino Sector by Additional Decay Channels
• Lorentz breaking Effective Field Theory and observational tests
• Gravitational deflection of light in Rindler-type potential as a possible resolution to the observations of Bullet Cluster 1E0657-558
• Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory
• Relaxing the cosmological constant in the extreme ultra-infrared
• Higher-order one-loop contributions in Lorentz-breaking QED
• Slow-rotating black holes with potential in dynamical Chern-Simons modified gravitational theory
• Short-range forces due to Lorentz-symmetry violation
• Classical and Quantum Cosmology in Einstein-aether Scalar-tensor gravity: Noether Symmetry Analysis
• Using time-dependent indirect $CP$ asymmetries to measure $T$ and $CPT$ violation in $B^0$-${\bar{B}}^0$ mixing
• Emergent gauge theories and supersymmetry: a QED primer
• Discriminating between Lorentz violation and non-standard interactions using core-passing atmospheric neutrinos at INO-ICAL
• New Constraints on Lorentz Invariance Violation from Combined Linear and Circular Optical Polarimetry of Extragalactic Sources
• Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
• Neutrinos and the Phenomenology of CPT Violation
• Higgs production in $e^{-}{e}^{+}$ collisions as a probe of noncommutativity
• Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality
• Behaviour of observables for neutral meson decaying to two vectors in the presence of $T$, $CP$ and $CPT$ violation in mixing only
• Infinitesimally Nonlocal Lorentz Violation
• Gravitational time advancement effect in Bumblebee gravity for Earth bound systems
• Quark-sector Lorentz violation in $Z$-boson production
• Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
• Symmetries from Locality. I. Electromagnetism and Charge Conservation
• First law of black hole mechanics in variable background fields
• Constraints and degrees of freedom in Lorentz-violating field theories
• Gravitational mass of positron from LEP synchrotron losses
• On the duality in CPT-even Lorentz-breaking theories
• A note on vortices from Lorentz-violating models
• Gravitational Redshift, Equivalence Principle, and Matter Waves
• Lorentz Violation, Gravitoelectromagnetic Field and Bhabha Scattering
• Effective Low-Energy Potential for Slow Dirac Fermions in Einstein-Cartan Gravity with Torsion and Chameleon
• Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs
• The Impact of Lorentz Violation on the Klein Tunneling Effect
• No one-loop gauge anomalies for a Lorentz-violating quantum electrodynamics: Evaluation of the three-photon vertex
• Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model
• Testing general relativity on accelerators
• Antimatter, the SME, and Gravity
• Probing Lorentz violation effects via a laser beam interacting with a high-energy charged lepton beam
• Moment of Inertia for Axisymmetric Neutron Stars in the Standard-Model Extension
• A search for neutrino-antineutrino mass inequality by means of sterile neutrino oscillometry
• Photon propagator in skewon electrodynamics
• Exploring Anisotropic Lorentz Invariance Violation from the Spectral-Lag Transitions of Gamma-Ray Bursts
• Observational Constraints on Local Lorentz Invariance
• Gravitational mass of relativistic matter and antimatter
• Testing the Lorentz and CPT Symmetry with CMB polarizations and a non-relativistic Maxwell Theory
• Probing nontensorial gravitational waves with a next-generation ground-based detector network
• Atmospheric Neutrinos: Status and Prospects
• Observation-based symmetry breaking measures
• Extended Hořava Gravity with Physical Ground-State Wavefunction
• I-Love-Q in Hořava-Lifshitz Gravity
• Muon anomalous magnetic moment due to the brane-stretching effect
• TFD formalism: applications to the scalar field in a Lorentz-violating theory
• One-loop corrections in Maxwell-metric-affine bumblebee gravity
• Effects of universal extra dimensions on top-quark electromagnetic interactions
• Charged Lifshitz black hole and probed Lorentz-violation fermions from holography
• Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED
• Breaking of Lorentz Invariance in Electron-Proton Parity Violation
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Braneworlds in bumblebee gravity
• Buchdahl bound, photon ring, ISCO and radial acceleration in Einstein-æther theory
• One-loop corrections in the z=3 Lifshitz extension of QED
• He-McKellar-Wilkens-type effect from the Lorentz symmetry breaking effects
• Gravitational-wave effects in the most general vector-tensor theory
• The CPT-violating effects on neutrons' gravitational bound state
• Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken Supersymmetry
• Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole
• Gravitating tensor monopole in a Lorentz-violating field theory
• Spontaneously broken Lorentz invariance from the dynamics of a heavy sterile neutrino
• Symmetries from Locality. III. Massless Spin 2 Gravitons and Time Translations
• Gravitational waves in a minimal gravitational SME
• Probes for String-Inspired Foam, Lorentz, and CPT Violations in Astrophysics
• Triangular Ring Resonator: Direct measurement of the parity-odd parameters of the photon sector of SME
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation
• Gravitational physics with antimatter
• A Slant on Warped Extra Dimensions
• Dealing with T and CPT violations in mixing as well as direct and indirect CP violations for neutral mesons decaying to two vectors
• On the algebraic approach to GUP in anisotropic space
• Modified Hawking temperatures of black holes in Lorentz violation theory
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Aspects of the Equivalence Between the $f^{\mu }$ and $c^{\nu \mu }$ Terms in Lorentz-Violating Quantum Field Theory
• Non-abelian vector backgrounds with restored Lorentz invariance
• Measuring Gravitational Wave Speed and Lorentz Violation with the First Three Gravitational-Wave Catalogs
• Effects of Lorentz violation in the Higgs sector of the Minimal Standard Model Extension
• The Bounds on Lorentz and CPT Violating Parameters in the Higgs Sector
• A test of local Lorentz invariance with Compton scattering asymmetry
• Gauge-invariant approach to the beta function in Yang-Mills theories with universal extra dimensions
• Superradiance scattering of scalar, electromagnetic, and gravitational fields and thin accretion disk around non-commutating Kerr black hole
• The spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation
• CPT and Lorentz violation as signatures for Planck-scale physics
• Causal properties of nonlinear gravitational waves in modified gravity
• The space-time torsion in the context of the Exact Foldy-Wouthuysen Transformation for a Dirac fermion
• Measurements of top-quark properties at the Tevatron
• Unimodular gravity as an initial value problem
• Bounds on Vacuum-Orthogonal Lorentz and CPT Violation from Radiative Corrections
• Constraints on Hořava-Lifshitz gravity from GRB 170817A
• On aether terms in a space-time with a compact extra dimension
• Non-Riemannian vortex geometry of rotational viscous fluids and breaking of the acoustic Lorentz invariance
• Lorentz and CPT Tests using Penning Traps
• Implications of a matter-antimatter mass asymmetry in Penning-trap experiments
• Anisotropic cosmology in Bumblebee gravity theory
• Unconventional minimal subtraction and Callan-Symanzik methods for Lorentz-violating scalar field theories at all loop orders
• K-essence Explains a Lorentz Violation Experiment
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• The Local Lorentz Symmetry Violation and Einstein Equivalence Principle
• An Arena for Model Building in the Cohen-Glashow Very Special Relativity
• Estimating the strength of Lorentzian distribution in non-commutative geometry by solar system tests
• Direct-coupling lensing by antisymmetric tensor monopoles
• Extended Nambu Models: their relation to gauge theories
• Atomic and optical tests of Lorentz symmetry
• Relation between CPT Violation in Neutrino masses and mixings
• Emergent gauge bosons and dynamical symmetry breaking in a four-fermion Lifshitz model
• Spontaneous Vectorization in the Einstein-Maxwell-Vector Model
• Are inertial vacua equivalent in Lorentz-violating theories? Does it matter?
• Dark matter distributions around Schwarzschild-like black holes in bumblebee and Kalb-Ramond models
• Modified Einstein-Cartan Gravity and its Implications for Cosmology
• Particle-antiparticle asymmetry from magnetogenesis through the Landau mechanism
• Probing Observable Features of Lorentz violation in Low-Energy Hořava Gravity with Accretion Disk Images of Black Hole
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Consistency analysis of a CPT-even and CPT-odd lorentz-violating effective field theory in the electrodynamics at Planck scale by an influence of a background isotropic field
• Yang-Mills-Higgs models with higher order derivatives
• Torsion braneworlds in a tensor-vector gravity
• An independent test on the local position invariance of gravity with the triple pulsar PSR J0337+1715
• Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
• Brane Lorentz Symmetry from Lorentz Breaking in the Bulk
• Non-Hermitian Interactions Between Harmonic Oscillators, with Applications to Stable, Lorentz-Violating QED
• Boson Stars in Bumblebee Gravity and Their Gravitational Waveforms from Extreme-Mass-Ratio Inspirals
• Flat space modified particle dynamics induced by Loop Quantum Gravity
• Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity
• Testing Lorentz symmetry with atoms and Light
• Effective Theories and Modifications of Gravity
• Tests of Lorentz symmetry using antihydrogen
• Contributions of a Modified Electrodynamics to the Molecular Biochirality
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• Fundamental Physics in 2025: Status, Decisive Targets, and Path Forward
• Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
• Deformations in spinor bundles: Lorentz violation and further physical implications
• Accretion of matter of a new bumblebee black hole
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Stable Magnetic Lorentz-Violating Vacua in Gauge-Invariant Nonlinear Electrodynamics
• Nonminimal Lorentz Violation in Macroscopic Matter
• Periodic orbits and gravitational waveforms of black holes in bumblebee gravity
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds
• Gravitational waves in metric-affine bumblebee gravity
• Propagation effects of Lorentz violation in gravitational waves
• Probing Relativity using Space-Based Experiments
• SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
• A Concept of Assessment of LIV Tests with THESEUS Using the Gamma-Ray Bursts Detected by Fermi/GBM
• Solutions of a slowly rotating Kerr flat-horizon black hole in dynamical Chern-Simons modified gravity
• Shortcuts in particle production in a toroidal compactified spacetime
• Kink scattering in a Lorentz-violating ${\varphi }^6$ model
• Gravitational aspects of a new bumblebee black hole
• Status and Perspectives of Neutrino Physics
• Spontaneous Lorentz symmetry violation and topological defects for the Chern-Simons matter vector field
• Characteristic tensors for almost Finsler manifolds
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field
• Velocity-dependent deformations of the energy spectrum of a quantum cavity from Lorentz symmetry violations
• Thin accretion disk around Schwarzschild-like black hole in bumblebee gravity
• Mixed gauge-gravity term and proper time
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Fermions with Electric Dipole Moment in curved spacetime
• Non-commutative Field Theory with Twistor-like Coordinates
• CPT-symmetry studies with antihydrogen
• Review of recent measurements in the top quark sector at the Tevatron
• No Flavor Anisotropy in the High-Energy Neutrino Sky Upholds Lorentz Invariance
• The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
• Relativistic Theory of Superluminal Particles
• Experimental hint for gravitational CP violation
• Perturbative Hamiltonian constraints for higher order theories
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• Simulation Study on Constraining GW Propagation Speed by GW and GRB Joint Observation on Binary Neutron Star Mergers
• Gravity from Breaking of Local Lorentz Symmetry
• Quantum gravity and spacetime symmetries
• Ambiguities in the generation of CFJ-terms in a QED with dimension-5 operators in one loop
• Antimatter-Gravity Couplings, and Lorentz Symmetry
• Kerr-Sen-like Lorentz violating black holes and Superradiance phenomena
• Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson
• Optical and Thermodynamic Signatures of Lorentz Symmetry Breaking in Bumblebee AdS Black Holes
• Penning-Trap Searches for Lorentz and CPT Violation
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Effects of bumblebee gravity on neutrino motion
• Gauge Symmetries Emerging from Extra Dimensions
• Nonrelativistic effective potential of the bumblebee model
• Fermionic quantum gas at finite temperature within a Lorentz violating background
• Spontaneous Lorentz symmetry violation from infrared gravity
• Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
• Bounds on Lorentz and CPT violation from the $1S$-$2P$ transition in antihydrogen
• Cosmology in the presence of diffeomorphism-violating, nondynamical background fields
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models
• Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity
• $\hslash$-perturbative solutions of quantum Snyder and Yang models with parameters describing spontaneous symmetry breaking
• Relativistic spin precession in homogeneous background fields
• On the lightlike Lorentz violation
• Lorentzian Goldstone modes shared among photons and gravitons
• Time Delay in $\kappa$-Anti-de Sitter Spacetime
• Quantum gravity phenomenology and the blackbody radiation
• Effect of bulk Lorentz violation on anisotropic brane cosmologies
• Impact of Lorentz violation models on exoplanets dynamics
• An algorithm for quantum gravity phenomenology
• Propagation features of Lorentz-violating electrodynamics
• Bosonic (p - 1)-forms in Einstein-Cartan theory of gravity
• Non-metricity effects on electron scattering in bumblebee gravity
• Non-minimal matter sector couplings in Lorentz-violating gravity: Self-consistent traversable wormholes and quasinormal modes
• Experimental Bounds on Deformed Muon Lifetime Dilation
• Generalized Chern-Pontryagin models
• CPT, Lorentz invariance and anomalous clash of symmetries
• Ringdown mode amplitudes of charged binary black holes
• Probing Lorentz-violating effects via precession and accretion disk images in a rotating bumblebee spacetime
• Detecting Lorentz-violation induced by a tensor field with S-star's motion around Sgr A*
• Geodesics in Quantum Gravity
• Pushing the Energy and Cosmic Frontiers with High-Energy Astrophysical Neutrinos
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
• Emergence of Yang Mills theory from the Non-Abelian Nambu Model
• Primordial observables of explicit diffeomorphism violation in gravity