General relativity as an effective field theory: The leading quantum corrections

Abstract

I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within this framework, gravity is a well behaved quantum field theory at ordinary energies. In studying the class of quantum corrections at low energy, the dominant effects at large distance can be isolated, as these are due to the propagation of the massless particles (including gravitons) of the theory and are manifested in the nonlocal/nonanalytic contributions to vertex functions and propagators. These leading quantum corrections are parameter-free and represent necessary consequences of quantum gravity. The methodology is illustrated by a calculation of the leading quantum corrections to the gravitational interaction of two heavy masses.

34 pages, Latex, UMHEP-408

References in corpus (1)

• Leading Quantum Correction to the Newtonian Potential

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• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• On free fall of quantum matter
• One-loop effective action of the IKKT model for cosmological backgrounds
• Compatibility of radial, Lorenz and harmonic gauges
• On the notion of potential in quantum gravity
• Wave scattering event shapes at high energies
• Graviton Propagator in a 2-Parameter Family of de Sitter Breaking Gauges
• Massive gravity as a quantum gauge theory
• Quantum Aspects of Massive Gravity II: Non-Pauli-Fierz Theory
• Newtonian Cosmology with a Quantum Bounce
• Dualities and bosonization of massless fermions in three dimensional space-time
• Quantum corrected equations of motion in the interior and exterior Schwarzschild spacetime
• Long Distance Effects in Mixed Electromagnetic-Gravitational Scattering
• Visions in Quantum Gravity
• The search for the universality class of metric quantum gravity
• New Non-Abelian Reissner-Nordström Black Hole Solutions in the Generalized SU(2) Proca Theory And Some Astrophysical Implications
• Gauge dependence of effective gravitational field
• Configuration space for quantum gravity in a locally regularized path integral
• Summing Gravitational Effects from Loops of Inflationary Scalars
• No-boundary solutions are robust to quantum gravity corrections
• Energy Density in Expanding Universes as Seen by Unruh's Detector
• Quantum Hair During Gravitational Collapse
• Cosmological perturbations in a gravity with quadratic order curvature couplings
• Gravitational form factors and decoupling in 2D
• Zero-dimensional models for gravitational and scalar QED decoherence
• The Effects of Minimal Length in Entropic Force Approach
• The Quantum Gravitationally Induced Stress Tensor
• Graviton Self-Energy from Gravitons in Cosmology
• Quantum Treatment of the Weyl Vector Meson
• Tailoring cosmologies in cubic shift-symmetric Horndeski gravity
• Gravitational reheating in Starobinsky inflation
• An Étude on the Regularization and Renormalization of Divergences in Primordial Observables
• Towards Ghost-Free Gravity and Standard Model
• On the quantum origin of inflation in the geometric inflation model
• Gravitational corrections to two-loop beta function in quantum electrodynamics
• An effective-gravity perspective on the Sun-Jupiter-comet three-body system
• Gravitational decay of the Z-boson
• EFT approach to general relativity: correction to EIH Lagrangian due to electromagnetic charge
• Causal Quantum Gravity
• An attempt to add Barrow entropy in $f(R)$ gravity
• The state of Hawking radiation is non-classical
• Graviton physics: Quantum field theory of gravitons, graviton noise and gravitational decoherence -- a concise tutorial
• The non-minimal coupling constant and the primordial de Sitter state
• Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices
• Is asymptotically safe inflation eternal?
• On the correspondence between the classical and quantum gravity
• Gauge independent effective gauge fields
• Fab Four Effective Field Theory Treatment
• Reconstruction method in the kinetic gravity braiding theory with shift-symmetric
• Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G
• Gauge invariant coupling of fields to torsion: a string inspired model
• Massive Elementary Particles and Black Holes
• Yang-Mills Interactions and Gravity in Terms of Clifford Algebra
• Foliation-based approach to quantum gravity and applications to astrophysics
• Can we detect quantum gravity with compact binary inspirals?
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Effective Potential of Scalar-Tensor Gravity
• On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity
• Windows on Quantum Gravity
• Scalar-tensor black holes in an expanding universe
• Novel nonlinear kinetic terms for gravitons
• Superradiant Axionic Black-Hole Clouds as Seeds for Graviton Squeezing
• Minimal spin deflection of Kerr-Newman and Supersymmetric black hole
• The complete experiment problem of pseudoscalar meson photoproduction in a truncated partial wave analysis
• Gauge Independent Quantum Gravitational Corrections to Maxwell's Equation
• Quantum generalisation of Einstein's Equivalence Principle can be verified with entangled clocks as quantum reference frames
• Quantum fields in teleparallel gravity: renormalization at one-loop
• Gravitational Contributions to the Running Yang-Mills Coupling in Large Extra-Dimensional Brane Worlds
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Waveforms from Amplitudes
• Apparent universality of semiclassical gravity in the far field limit
• Singularity theorems in the effective field theory for quantum gravity at second order in curvature
• Newtonian cosmology from quantum corrected Newtonian potential
• Effective Field Theory of pure Gravity and the Renormalization Group
• Scalar fields in the nonsymmetric Kaluza-Klein (Jordan-Thiry) theory
• Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity
• The 1+1+2 formalism for Scalar-Tensor gravity
• Imprints of Quantum Gravity in the Cosmic Microwave Background
• Lower Limit to the Scale of an Effective Theory of Gravitation
• Effective Gravitational Field of Black Holes
• Kaluza-Klein Induced Gravity Inflation
• Particle-like solutions in the generalized SU(2) Proca theory
• Axion-modified photon propagator, Coulomb potential and Lamb-shift
• $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ in the Asymptotically Safe Standard Model
• Non-perturbative effects for dark sectors with QCD portals
• Local Lorentz invariance and a new theory of gravitation equivalent to General Relativity
• Restricting loop expansions in gauge theories coupled to matter
• Interesting features of a general class of higher derivative theories of quantum gravity
• Thermal stability of a special class of black hole solutions in F(R) gravity
• Fundamental length scale and the bending of light in a gravitational field
• Decoupling-limit consistency of the generalized SU(2) Proca theory
• On the breakdown of space-time in general relativity
• A Group Theoretical Approach to Graviton Two-Point Function
• Relativistic Dips in Entangling Power of Gravity
• Cosmological Perturbation Analysis in a Scale Invariant Model of Gravity
• Graviballs and Dark Matter
• Quantum corrections to spin effects in general relativity
• One-loop corrections to $\eta /s$ in AdS${}_4$/CFT${}_3$
• A Unified Universe
• No Ward-Takahashi identity violation for an Abelian tensorial group field theories with closure constraint
• Softly broken conformal symmetry with quantum gravitational corrections
• Scale-dependent cosmology from effective quantum gravity in the invariant framework
• Complex-mass shell renormalization of the higher-derivative electrodynamics
• One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background
• Pseudospectrum and time-domain analysis of the EFT corrected black holes
• Thermal gravity, black holes and cosmological entropy
• Singularities in Quantum Corrected Space-times
• Clifford algebra Cl(0,6) approach to beyond the standard model and naturalness problems
• de Sitter gravity from lattice gauge theory
• Gravitational vacuum polarization phenomena due to the Higgs field
• Resonance interaction between two entangled gravitational polarizable objects
• Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms
• A diffeomorphism invariant family of metric-affine actions for loop cosmologies
• Quantum gravitational corrections to the geometry of charged AdS black holes
• Basic issues of conservative approaches to quantum theory of gravity
• Vacuum energy in the effective field theory of general relativity
• Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles
• Beyond Horndeski interactions induced by quantum effects
• Elastic light-by-light scattering in a nonminimal Lorentz violation scenario
• Revisit of renormalization of Einstein-Maxwell theory at one-loop
• Gravitational corrections to the Einstein-Scalar-QCD model
• Squeezed gravitons from superradiant axion fields around rotating black holes
• Leading Gravitational Corrections and a Unified Universe
• Stringballs and Planckballs for Dark Matter
• When effective theories predict: the inevitability of Mercury's anomalous perihelion precession
• The Standard Model Coupled to Quantum Gravitodynamics
• Perturbative vs Schwinger-propagator method for the calculation of amplitudes in a magnetic field
• EFT & Species Scale: Friends or foes?
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• FeynGrav 3.0
• Derivative Expansion of One-Loop Effective Energy of Stiff Membranes with Tension
• Lectures in Quantum Gravity
• Gravitational Observations and LQGUP
• Quantum decoherence of gravitational waves
• Gravity and Nonlinear Symmetry Realisation
• Gauge Independent Logarithms from Inflationary Gravitons
• Gravitons and Pions
• General Covariance in Quantum Gravity
• An exact self-consistent gravitational shock wave in semiclassical gravity
• Non-minimally coupled electromagnetic fields and observable implications for primordial black holes
• Stealth black holes in Aether Scalar Tensor theory
• Precision predictions of Starobinsky inflation with self-consistent Weyl-squared corrections
• Linear stability of noncommutative spectral geometry
• Properties of a proposed background independent exact renormalization group
• Generalizing the ADM Computation to Quantum Field Theory
• Extreme Regimes in Quantum Gravity
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• Dark matter annihilation into leptons through gravity portals
• Solar system dynamics in general relativity
• A new generic and structurally stable cosmological model without singularity
• The Fermi problem in disordered systems
• Covariant Effective Action for Scalar-Tensor Theories of Gravity
• Gravitational correction to SU(5) gauge coupling unification
• On the Quantization of the Gravitational Field
• $R^2$ Dark Energy in the Laboratory
• Quasiclassical solutions for static quantum black holes
• Perturbative Gravity and Twistor Space
• Entropy-current for dynamical black holes in Chern-Simons theories of gravity
• Metric-scalar gravity with torsion and the measurability of the non-minimal coupling
• Weyl meson and its implications in collider physics and cosmology
• Matching the Vilkovisky-DeWitt Effective Action of Quantum Gravity to String Theory
• Gravitational collapse in Quadratic Gravity
• Scale Invariance as a Solution to the Cosmological Constant Problem
• Inflationary magnetogenesis and non-local actions: The conformal anomaly
• Gravitational corrections to the scattering in a massless quantum electrodynamics
• Spectral Analysis of Quasinormal Modes of Planck Stars
• Suppression of proton decay in quantum gravity
• Emergent gravity from off-shell energy fixing
• (Loop) quantum gravity and the inflationary scenario
• Quantum Gravity at the LHC
• Classical gravitational scattering from a gauge-invariant double copy
• Unitarization Technics in Hadron Physics with Historical Remarks
• Entanglement and squeezing of gravitational waves
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• Random versus holographic fluctuations of the background metric. I. (Cosmological) running of space-time dimension
• Quantum Fluctuations of a Coulomb potential
• Ghost-Free Higher Derivative Quantum Gravity, the Hierarchy and the Cosmological Constant Problems
• Radiative corrections to the $R$ and $R^2$ invariants from torsion fluctuations on maximally symmetric spaces
• Resummed Quantum Gravity
• Finite One-Loop Corrections and Perturbative Gauge Invariance in Quantum Gravity Coupled to Photon Fields
• One-loop $N$-point correlators in pure gravity
• Measurability of the non-minimal coupling
• Simplifying Quantum Gravity Calculations
• Quantum gravity correction, evolution of scalar field and inflation
• $\kappa$-General-Relativity I: a Non-Commutative GR Theory with the $\kappa$-Minkowski Spacetime as its Flat Limit
• Neutrino induced decoherence and variation in nuclear decay rates
• Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity
• Induced quantum gravitational interaction between two objects with permanent quadrupoles in external gravitational fields
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• The Wigner formalism on black hole geometries
• On two body gravitational scattering within perturbative gravit
• Is there no quantum form of Einstein Gravity?
• Coulomb Law in the Non-Uniform Euler-Heisenberg Theory
• The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation
• Quantum Gravity Corrections for Schwarzschild Black Holes
• Conformal Cores of Quantum Black Holes in Quadratic Gravity
• Gauge dependence of effective gravitational field.II. Point-like measuring device
• Gravitationally induced decoherence of a scalar field: investigating the one-particle sector and its interplay with renormalisation
• On the quantum mechanics of entropic forces
• Vacuum Stability Bounds On Higgs Mass With Gravitational Contributions
• On free fall of fermions and antifermions
• Weak gravitational interaction of fermions: quantum viewpoint
• Quantum corrected non-thermal radiation spectrum from the tunnelling mechanism
• Gravitational Corrections to ${\Phi }^4$ Theory with Spontaneously Broken Symmetry
• Quantum corrected gravitational potential beyond monopole-monopole interactions
• Constraining the swiss-cheese IR-fixed point cosmology with cosmic expansion
• Graviton Mixing
• Neutron stars in the generalized SU(2) Proca theory
• Aspects of quantum gravity
• Quantum-gravitational corrections to the hydrogen atom and harmonic oscillator
• Quantum Gravity
• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• On-Shell Calculation of Mixed Electromagnetic and Gravitational Scattering
• Scalar-QED β-functions near Planck's Scale
• Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
• Ultra-Planckian quark and gluon scattering in agravity
• Fundamental Physics in 2025: Status, Decisive Targets, and Path Forward
• FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
• On the gravitational diagram technique in the discrete setup
• Planck scale operators, inflation and fine tuning
• Seeking for resonances in unitarized one-loop graviton-graviton scattering
• Strict renormalizability as a paradigm for fundamental physics
• Birkhoff's Theorem and Uniqueness: A Peek Beyond General Relativity
• Spacetime Conformal Fluctuations and Quantum Dephasing
• Vacuum energy in the effective field theory of general relativity II: Inclusion of fermions and a comment on the QCD contribution
• Dynamical Lorentz Symmetry Breaking in a Scale-free Theory of Gravity
• Quantum-gravitational running/reduction of space-time dimension
• Gravitational SIMPs
• Black Hole Quasi-Periodic Oscillations in the Presence of Gauss-Bonnet Trace Anomaly
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• On simple bootstrap in metric gravity
• Gravitational corrections to the scattering of scalar particles
• A field theory characterization of interacting adiabatic particles in cosmology
• Alleviating the Hubble tension with Torsion Condensation (TorC)
• Quantum gravitomagnetic interaction
• Quantum gravity phenomenology from the perspective of quantum general relativity and quadratic gravity
• Gravitational corrections to the two-loop beta function in a non-Abelian gauge theory
• Quantum geodesics reflecting the internal structure of stars composed of shells
• Black Holes in Einstein-scalar-Gauss-Bonnet model probed with scattering amplitudes
• A weak instability in an expanding universe?
• Probing Gravitational Dark Matter with Ultra-high Frequency Gravitational Waves
• Three models of non-perturbative quantum-gravitational binding
• Corrections to gauge theories in effective quantum gravity with a cutoff
• Probing Quantum Gravity in Stellar Spacetimes: Phenomenological Insights
• Radiative generation of metastable minima in a scalar-fermion model
• The Radial Action from Probe Amplitudes to All Orders
• The background information about perturbative quantum gravity
• Vacuum energy in effective field theory of general relativity
• First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory
• Can we detect the quantum nature of weak gravitational fields?
• A novel mechanism for the distance-redshift relation
• Quadratic gravity potentials in de Sitter spacetime from Feynman diagrams
• Semiclassical Backreaction: A Qualitative Assessment
• Influence Through Mixing: Hotspots as Benchmarks for Basic Black-Hole Behaviour
• Entropic force and bouncing behaviour in $\kappa$-Minkowski space-time
• Constraining a stochastic variation of the gravitational coupling with binary systems
• Energy in Fourth Order Gravity
• Non-Relativistic Fermion-Fermion Scattering in Higher Derivative Gravity
• Positivity Conditions for Generalised Schwarzschild Space-Times
• Curvature Late-Time Acceleration in an Eternal Universe
• Can a pseudo-symmetry solve the cosmological constant problem?
• Spacetime Instability and Quantum Gravity as Low Energy Effective Field Theory
• Finite Hilbert space and maximum mass of Schwarzschild black holes from a Generalized Uncertainty Principle
• Nonlocal stress-energy tensor in time-dependent gravitational backgrounds
• Neutron stars more compact than black holes as a probe of strong-field gravity
• Overcharging Extremal Rotating Black Holes
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• Light neutrino masses from gravitational condensation: the Schwinger-Dyson approach
• Quantum Corrections to Gravitational Potential of Scalarized Neutron Star Binary
• Neutron stars more compact than black holes in quasi-topological gravity: Equilibrium configurations and radial stability
• Marginal IR running of Gravity as a Natural Explanation for Dark Matter
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Space-time superpositions as fluctuating geometries
• Probing modified gravitational-wave dispersion with bursts from eccentric black-hole binaries
• Scale-dependent gravity and covariant scale-setting
• Large Order Behavior of Quasiclassical Euclidean Gravity in Minisuperspace Models
• Unitarity, Causality, and Solar System Bounds May Significantly Limit the Use of Gravitational Waves to Test General Relativity
• Big Bang Nucleosynthesis constraints on $f(T,L_m)$ gravity
• Gravitational entanglement and the mass contribution of internal energy in nonrelativistic quantum systems
• Joining Spacetimes on Fractal Hypersurfaces
• Prediction for the Cosmological Constant in Resummed Quantum Gravity and Constraints on SUSY GUT's
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• FeynGrav 4.0
• On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity
• Nonlocal correlations for semiclassical states in loop quantum gravity
• Tests of scalar polarizations with multi-messenger events
• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models
• Criticality and dominance of axion physics in highly magnetized vacuum
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
• Quantum black holes and holography
• Accelerated expansion in the effective field theory of a radiation dominated universe
• Bayesian Inference of Neutron Star Properties in $f(Q)$ Gravity Using NICER Observations
• Gravitational Deflection of Vector Photons via Effective Field Theory
• Effective quantum field theories in general spacetimes
• Analysis of some classical and quantum aspects of black holes
• Spacetime singularities and a novel formulation of indeterminism
• Geodesics in Quantum Gravity
• Anti-de Sitter space from supersymmetric gauge theory
• Behavior of light polarization in photon-scalar interaction
• De Sitter scattering amplitudes in the Born approximation
• Gauss-Bonnet Gravity and Spacetime Singularities
• Parameterized Post-Newtonian Analysis of Quadratic Gravity and Solar System Constraints
• On the structural stability of a simple cosmological model in $R+\alpha R^2$ theory of gravity
• Bottom up approach to quantum gravity
• General Relativity from Quantum Field Theory
• The Third Structure Function
• The effective Dirac algebra by gauge field interaction in relativistic electrodynamics
• Relativistic implications of entropy and purity
• Bosonic (p - 1)-forms in Einstein-Cartan theory of gravity
• A Modified Gravitational Theory of the Matter Sector of the Type $\varphi (R,T){\mathcal{L}}_m$
• What is the Gravitational Field of a Mass in a Spatially Nonlocal Quantum Superposition?
• Covariant derivative expansion for the renormalization of gravity
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture
• Quantum and higher curvature corrections to the anti-de Sitter black hole
• On the physical running of the electric charge in a dimensionless theory of gravity
• Decoupling theorem and effective quantum gravity
• Scattering amplitudes in dimensionless quadratic gravity coupled to QED
• Worldline EFT treatment of quadratic and cubic gravity theories
• Geometric Baryogenesis with Chiral-Time Equivalence
• Liouville theory on a horizon: point particle/scalar field duality and Page-like curve
• A quantum theory of gravity
• Cascade Birth of Universes in Multidimensional Spaces
• Classical spacetime as a gravitational condensate: USMEG-EFT emergence in comparison to Verlinde's entropic gravity
• Conditions for positivity of energy in superrenormalizable polynomial gravity
• Inspiraling Corrugation-Induced Quantum Effects on Neutron Star Binary Plane
• Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials
• Quantum Geometrodynamics of Higher Derivative Theories with and without Conformal Symmetry
• Black-hole models in loop quantum gravity
• Repulsive quantum gravitoelectric-gravitomagnetic interaction
• Fock Vacuum Instability and Causality
• (In)equivalence of Metric-Affine and Metric Effective Field Theories