Backgrounds in gravitational effective field theory
arXiv:2008.12206 · doi:10.1103/PhysRevD.103.024059
Abstract
Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are included. The theoretical framework for violations of local Lorentz and diffeomorphism invariance and associated conceptual issues are discussed, including transformations in curved and approximately flat spacetimes, the treatment of various types of backgrounds, the implications of symmetry breaking, and the no-go constraints for explicit violation in Riemann geometry. Techniques are presented for the construction of effective operators, and the possible terms in the gravity, gauge, fermion, and scalar sectors are classified and enumerated. Explicit expressions are obtained for terms containing operators of mass dimension six or less in the effective action for General Relativity coupled to the Standard Model of particle physics. Special cases considered include Einstein-Maxwell effective field theories and the limit with only scalar coupling constants.
arXiv comment36 pages two-column REVTeX
References in corpus (128)
- The Confrontation between General Relativity and Experiment
- Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
- Lorentz-Violating Extension of the Standard Model
- CPT Violation and the Standard Model
- Gravity, Lorentz Violation, and the Standard Model
- Signals for Lorentz Violation in Electrodynamics
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
- Stability, Causality, and Lorentz and CPT Violation
- CPT, Strings, and Meson Factories
- Electrodynamics with Lorentz-violating operators of arbitrary dimension
- Signals for Lorentz Violation in Post-Newtonian Gravity
- Tests of Lorentz invariance: a 2013 update
- Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
- Matter-gravity couplings and Lorentz violation
- Atom Interferometry tests of the isotropy of post-Newtonian gravity
- Lorentz and CPT Violation in Neutrinos
- Neutrinos with Lorentz-violating operators of arbitrary dimension
- Fermions with Lorentz-violating operators of arbitrary dimension
- Riemann-Finsler geometry and Lorentz-violating kinematics
- Constraints on Torsion from Lorentz Violation
- Planck 2013 results. XXVII. Doppler boosting of the CMB: Eppur si muove
- Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Prospects for Large Relativity Violations in Matter-Gravity Couplings
- What Do We Know About Lorentz Invariance?
- Spacetime-varying couplings and Lorentz violation
- Sensitivity of CPT Tests with Neutral Mesons
- Testing local Lorentz invariance with gravitational waves
- Lorentz violation with an antisymmetric tensor
- Probing Lorentz and CPT violation with space-based experiments
- On couplings to matter in massive (bi-)gravity
- Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
- Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
- Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking
- Equivalence Principle and Gravitational Redshift
- Constraints on Lorentz violation from gravitational Cherenkov radiation
- Bipartite Riemann-Finsler geometry and Lorentz violation
- Short-range gravity and Lorentz violation
- Lorentz-violating spinor electrodynamics and Penning traps
- Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
- Gauge field theories with Lorentz-violating operators of arbitrary dimension
- Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
- Tests of Lorentz symmetry in the gravitational sector
- Explicit versus Spontaneous Diffeomorphism Breaking in Gravity
- Signals for Lorentz violation in gravitational waves
- Einstein-Hilbert Graviton modes modified by the Lorentz-violating bumblebee Field
- Generalized bumblebee models and Lorentz-violating electrodynamics
- Testing Lorentz symmetry with Lunar Laser Ranging
- Classical-physics applications for Finsler space
- Search for Lorentz violation in short-range gravity
- Finsler geometry as a model for relativistic gravity
- Lorentz and Diffeomorphism Violations in Linearized Gravity
- Testing Lorentz symmetry with planetary orbital dynamics
- New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
- Combined search for Lorentz violation in short-range gravity
- Finsler-like structures from Lorentz-breaking classical particles
- Lorentz violation in the gravity sector: The t puzzle
- A First Experimental Limit on In-matter Torsion from Neutron Spin Rotation in Liquid He-4
- Superconducting-Gravimeter Tests of Local Lorentz Invariance
- Lorentz Symmetry Violations from Matter-Gravity Couplings with Lunar Laser Ranging
- Lorentz invariance violations in the interplay of quantum gravity with matter
- Limits on violations of Lorentz Symmetry from Gravity Probe B
- Vector models of gravitational Lorentz symmetry breaking
- Combined search for anisotropic birefringence in the gravitational-wave transient catalog GWTC-1
- Light-bending tests of Lorentz invariance
- Finsler-Randers Cosmology: dynamical analysis and growth of matter perturbations
- Orbital effects of Lorentz-violating Standard Model Extension gravitomagnetism around a static body: a sensitivity analysis
- Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
- Testing local Lorentz invariance with short-range gravity
- Lorentz violation, gravitomagnetism, and intrinsic spin
- Constraints on Nonmetricity from Bounds on Lorentz Violation
- Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
- Laboratory Bounds on Electron Lorentz Violation
- Limits on Lorentz violation in gravity from worldwide superconducting gravimeters
- Lorentz symmetry and Very Long Baseline Interferometry
- Combined Search for a Lorentz-Violating Force in Short-Range Gravity Varying as the Inverse Sixth Power of Distance
- Casimir effect in Post-Newtonian Gravity with Lorentz-violation
- Foundations of Finsler spacetimes from the Observers' Viewpoint
- Phenomenological consequences of a geometry in the cotangent bundle
- Neutrino oscillations and Lorentz Invariance Violation in a Finslerian Geometrical model
- Tests of CPT invariance in gravitational waves with LIGO-Virgo catalog GWTC-1
- Testing velocity-dependent CPT-violating gravitational forces with radio pulsars
- Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
- Noether identities in gravity theories with nondynamical backgrounds and explicit spacetime symmetry breaking
- Measuring the Speed of Gravitational Waves from the First and Second Observing Run of Advanced LIGO and Advanced Virgo
- There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term
- On Finsler spacetimes with a timelike Killing vector field
- Matter-Sector Lorentz Violation in Binary Pulsars
- New test of Lorentz invariance using the MICROSCOPE space mission
- Extended Hamiltonian Formalism and Lorentz-Violating Lagrangians
- Lorentz violation in a uniform newtonian gravitational field
- Finslerian Ressiner-Nordstrom spacetime
- Covariant electrodynamics in linear media: Optical metric
- Explicit Lorentz violation in a static and spherically-symmetric spacetime
- Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
- Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
- Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
- Gravity Theories with Background Fields and Spacetime Symmetry Breaking
- Spacetime Symmetry Breaking and Einstein-Maxwell Theory
- Anisotropic cubic curvature couplings
- On the analyticity of static solutions of a field equation in Finsler gravity
- On the non metrizability of Berwald Finsler spacetimes
- Inflation as an amplifier: the case of Lorentz violation
- Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation
- First-order classical Lagrangians for the nonminimal Standard-Model Extension
- Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
- Velocity-dependent inverse cubic force and solar system gravity tests
- Bipartite-Finsler symmetries
- Testing Lorentz- and CPT-invariance with ultracold neutrons
- Neutron Star Structure in the Minimal Gravitational Standard-Model Extension and the Implication to Continuous Gravitational Waves
- Gravitational Searches for Lorentz Violation with Ultracold Neutrons
- (Gravitational) Vacuum Cherenkov Radiation
- Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
- Gravitational Field on the Lorentz Tangent Bundle: Generalized Paths and Field Equations
- Exploring the CPT violation and birefringence of gravitational waves with ground- and space-based gravitational-wave interferometers
- Fermionic Lorentz violation and its implications for interferometric gravitational-wave detection
- Affine sphere spacetimes which satisfy the relativity principle
- Quasi-Stationary Solutions in Gravity Theories with Modified Dispersion Relations and Finsler-Lagrange-Hamilton Geometry
- Lorentz-violating matter-gravity couplings in small-eccentricity binary pulsars
- Covariant Effective Action for Antisymmetric Tensor Field
- Induced Chern-Simons modified gravity at finite temperature
- Lorentz-violating gravity and the bootstrap procedure
- Modifications to Plane Gravitational Waves from Minimal Lorentz Violation
- The CPT-violating effects on neutrons' gravitational bound state
- On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation
- Effects of spontaneous Lorentz violation in gravitational waves solutions
- Cosmology in a toy model of Lorentz breaking gravity
Cited by in corpus (59)
- Vacuum solution within a metric-affine bumblebee gravity
- Measuring the stability of fundamental constants with a network of clocks
- Lorentz violation in Dirac and Weyl semimetals
- Probing Schwarzschild-like Black Holes in Metric-Affine Bumblebee Gravity with Accretion Disk, Deflection Angle, Greybody Bounds, and Neutrino Propagation
- An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
- White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era
- Spontaneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity
- Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
- Search for anisotropic, birefringent spacetime-symmetry breaking in gravitational wave propagation from GWTC-3
- Searches for beyond-Riemann gravity
- Analysis of birefringence and dispersion effects from spacetime-symmetry breaking in gravitational waves
- Hamiltonian formulation of an effective modified gravity with nondynamical background fields
- Generalized SU(2) Proca theory reconstructed and beyond
- Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
- Notes on thermodynamics of Schwarzschild-like bumblebee black hole
- Modified-gravity theories with nondynamical background fields
- Gravitational lensing and shadow by a Schwarzschild-like black hole in metric-affine bumblebee gravity
- Quantum gravitational states of ultracold neutrons as a tool for probing of beyond-Riemann gravity
- Gravity with Explicit Diffeomorphism Breaking
- Implications of gauge invariance for constraints on Lorentz violation
- Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
- Spontaneous Lorentz violation and asymptotic flatness
- On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms
- Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
- Spontaneous and Explicit Spacetime Symmetry Breaking in Einstein-Cartan Theory with Background Fields
- On plane wave solutions in Lorentz-violating extensions of gravity
- Lorentz-breaking Rarita-Schwinger model
- Constraining GUP Models Using Limits on SME Coefficients
- Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
- On metric-affine bumblebee model coupled to scalar matter
- Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
- Testing black holes with cosmological constant in Einstein-bumblebee gravity through the black hole shadow using EHT data and deflection angle
- Physical interpretation of large Lorentz violation via Weyl semimetals
- Nonperturbative Lorentz Violation and Field Quantization
- Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory
- Short-range forces due to Lorentz-symmetry violation
- Quark-sector Lorentz violation in -boson production
- Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model
- One-loop corrections in Maxwell-metric-affine bumblebee gravity
- Braneworlds in bumblebee gravity
- Charged Lifshitz black holes from general covariance breaking
- Modified Hawking temperatures of black holes in Lorentz violation theory
- Prospects for testing CPT and Lorentz symmetry with deuterium ground-state Zeeman-hyperfine transitions
- Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity
- Derivative four-fermion model, effective action and bumblebee generation
- Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
- Constraining the spin-gravity coupling effects to the -level with dual-species atom interferometers
- The analogy of the Lorentz-violating fermion-gravity and fermion photon couplings
- Mixed gauge-gravity term and proper time
- Nonminimal Lorentz Violation in Macroscopic Matter
- Relativistic spin precession in homogeneous background fields
- Developments in Lorentz and CPT Violation
- Nonminimal Lorentz-Violating Extensions of Gauge Field Theories
- Cosmology in the presence of diffeomorphism-violating, nondynamical background fields
- Generalized Chern-Pontryagin models
- Bounds on Lorentz and CPT violation from the - transition in antihydrogen
- Diffeomorphism Invariance Breaking in Gravity and Cosmological Evolution
- Primordial observables of explicit diffeomorphism violation in gravity
- Nonrelativistic effective potential of the bumblebee model