Asymptotic safety in higher-derivative gravity

Abstract

We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative ultraviolet fixed point into a non-trivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

8 pages; 1 figure; revised version

References in corpus (21)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Nonperturbative Evolution Equation for Quantum Gravity
• Optimised Renormalisation Group Flows
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Spectral Dimension of the Universe
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
• Reconstructing the Universe
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Fixed Points of Higher Derivative Gravity
• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
• The Nonperturbative Quantum de Sitter Universe
• Higher Derivative Quantum Gravity with Gauss-Bonnet Term
• Towards Nonperturbative Renormalizability of Quantum Einstein Gravity
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
• Further Evidence for a Gravitational Fixed Point
• The renormalization group flow of the dilaton potential

Cited by in corpus (224)

• The nonperturbative functional renormalization group and its applications
• Super-renormalizable Quantum Gravity
• Quantum Einstein Gravity
• Fundamentals of the Exact Renormalization Group
• Matter matters in asymptotically safe quantum gravity
• Asymptotic safety guaranteed
• Asymptotically Safe Lorentzian Gravity
• Renormalisation group and the Planck scale
• Asymptotic safety of gravity-matter systems
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Local Quantum Gravity
• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• Towards apparent convergence in asymptotically safe quantum gravity
• Asymptotic safety in the f(R) approximation
• Top mass from asymptotic safety
• Asymptotically Safe Inflation
• Global Flows in Quantum Gravity
• One force to rule them all: asymptotic safety of gravity with matter
• The Renormalization Group flow of unimodular f(R) gravity
• Quantum gravity on foliated spacetime - asymptotically safe and sound
• Asymptotic safety of quantum gravity beyond Ricci scalars
• A Critique of the Asymptotic Safety Program
• Renormalization group fixed points of foliated gravity-matter systems
• Generalized Parametrization Dependence in Quantum Gravity
• Ghost anomalous dimension in asymptotically safe quantum gravity
• Light fermions in quantum gravity
• Asymptotic safety casts its shadow
• Black holes within Asymptotic Safety
• Asymptotically safe cosmology - a status report
• Resolving Spacetime Singularities within Asymptotic Safety
• Structural aspects of asymptotically safe black holes
• An asymptotically safe solution to the U(1) triviality problem
• Aspects of asymptotic safety for quantum gravity
• Matter Induced Bimetric Actions for Gravity
• Quantum-gravity effects on a Higgs-Yukawa model
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Quantum gravity: a fluctuating point of view
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Quantum-gravity-induced matter self-interactions in the asymptotic-safety scenario
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Dynamical renormalization of black-hole spacetimes
• Curvature dependence of quantum gravity
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Viability of quantum-gravity induced ultraviolet completions for matter
• Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data
• A proper fixed functional for four-dimensional Quantum Einstein Gravity
• Ghost wave-function renormalization in Asymptotically Safe Quantum Gravity
• The local potential approximation in quantum gravity
• Mass difference for charged quarks from asymptotically safe quantum gravity
• Asymptotic safety in an interacting system of gravity and scalar matter
• Quantum gravity and Standard-Model-like fermions
• Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions
• Chiral fermions in asymptotically safe quantum gravity
• How perturbative is quantum gravity?
• Consistent closure of renormalization group flow equations in quantum gravity
• The Universal RG Machine
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Higgs scalar potential in asymptotically safe quantum gravity
• The R^2 phase-diagram of QEG and its spectral dimension
• Second- and First-Order Phase Transitions in CDT
• Probing the quantum nature of spacetime by diffusion
• A QCD analogy for quantum gravity
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Evidence for Asymptotic Safety from Lattice Quantum Gravity
• On unimodular quantum gravity
• On the number of relevant operators in asymptotically safe gravity
• Black hole shadow of a rotating scale--dependent black hole
• Effective universality in quantum gravity
• Zooming in on fermions and quantum gravity
• Black holes in an asymptotically safe gravity theory with higher derivatives
• Asymptotically safe inflation from quadratic gravity
• Super-renormalizable or finite completion of the Starobinsky theory
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Shadow and deflection angle of rotating black hole in asymptotically safe gravity
• Correlation functions on a curved background
• Nonminimal hints for asymptotic safety
• From renormalization group flows to cosmology
• Lattice Quantum Gravity and Asymptotic Safety
• Functional renormalization with fermions and tetrads
• Towards the determination of the dimension of the critical surface in asymptotically safe gravity
• Variable Planck mass from the gauge invariant flow equation
• On the UV structure of quantum unimodular gravity
• Fixed-Functionals of three-dimensional Quantum Einstein Gravity
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Asymptotically Safe Starobinsky Inflation
• RG flows of Quantum Einstein Gravity on maximally symmetric spaces
• Scaling solutions for Dilaton Quantum Gravity
• Asymptotic Safety, Fractals, and Cosmology
• Consistency of matter models with asymptotically safe quantum gravity
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Scale Setting for Self-consistent Backgrounds
• Quantum-gravity predictions for the fine-structure constant
• Essential Quantum Einstein Gravity
• Cosmological bounds on the field content of asymptotically safe gravity-matter models
• Asymptotically safe gravity as a scalar-tensor theory and its cosmological implications
• Light charged fermions in quantum gravity
• Asymptotic Safety, Emergence and Minimal Length
• Einstein-Cartan gravity, Asymptotic Safety, and the running Immirzi parameter
• Gauges and functional measures in quantum gravity II: Higher derivative gravity
• Asymptotic safety, string theory and the weak gravity conjecture
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Faddeev-Popov ghosts in quantum gravity beyond perturbation theory
• Characterizing black hole metrics in quadratic gravity
• Minimal models for $g-2$ and dark matter confront asymptotic safety
• Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories
• A Safe Beginning for the Universe?
• Safety in darkness: Higgs portal to simple Yukawa systems
• Exploring Euclidean Dynamical Triangulations with a Non-trivial Measure Term
• Polyakov Effective Action from Functional Renormalization Group Equation
• Asymptotic safety goes on shell
• RG flow of Weyl-invariant dilaton gravity
• On de Sitter solutions in asymptotically safe $f(R)$ theories
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• One loop beta functions and fixed points in Higher Derivative Sigma Models
• On the impact of Majorana masses in gravity-matter systems
• Bouncing and emergent cosmologies from ADM RG flows
• Low energy Quantum Gravity from the Effective Average Action
• Infinite order quantum-gravitational correlations
• Asymptotic Safety: Swampland or Wonderland?
• Scalar-Tensor theories within Asymptotic Safety
• Critical O(N) models above four dimensions: Small-N solutions and stability
• Euclidian 4d quantum gravity with a non-trivial measure term
• Asymptotic safety and the cosmological constant
• New higher-order transition in causal dynamical triangulations
• Asymptotically Safe Gravity with Fermions
• The Tensor Theory Space
• Modulated Ground State of Gravity Theories with Stabilized Conformal Factor
• Propagating gravitons vs. dark matter in asymptotically safe quantum gravity
• One-loop divergences for $f(R)$ gravity
• Gravitational antiscreening in stellar interiors
• Predictive power of grand unification from quantum gravity
• Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
• Higgs inflation and quantum gravity: An exact renormalisation group approach
• Universality and symmetry breaking in conformally reduced quantum gravity
• Fixed Points of Quantum Gravity and the Dimensionality of the UV Critical Surface
• Non-Singular Black Holes, the Cosmological Constant and Asymptotic Safety
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• Scalegenesis and fermionic dark matters in the flatland scenario
• Kähler-Dirac fermions on Euclidean dynamical triangulations
• A curvature bound from gravitational catalysis
• Signature Change of the Metric in CDT Quantum Gravity?
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Accretion disk around a Schwarzschild black hole in asymptotic safety
• Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
• Flavor anomalies from asymptotically safe gravity
• Asymptotic freedom and safety in quantum gravity
• Comment on Asymptotically Safe Inflation
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Universal critical behavior in tensor models for four-dimensional quantum gravity
• A non-Perturbative and Background-Independent Formulation of Quadratic Gravity
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Functional Renormalisation for $f(R_{\mu \nu \rho \sigma })$ Quantum Gravity
• How universe evolves with cosmological and gravitational constants
• Towards coarse graining of discrete Lorentzian quantum gravity
• Quantum gravity effects in Myers-Perry space-times
• Searching for a continuum limit in causal dynamical triangulation quantum gravity
• Nonlinear Evolution of Quadratic Gravity in 3+1 Dimensions
• Can we see quantum gravity? Photons in the asymptotic-safety scenario
• Are there ALPs in the asymptotically safe landscape?
• Large N Quantum Gravity
• A curvature bound from gravitational catalysis in thermal backgrounds
• Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
• Renormalized Functional Renormalization Group
• Quasinormal modes for asymptotic safe black holes
• Running Couplings in Quantum Theory of Gravity Coupled with Gauge Fields
• Constraints on $Z^{\prime }$ solutions to the flavor anomalies with trans-Planckian asymptotic safety
• One Loop Beta Functions in Topologically Massive Gravity
• Signs and Stability in Higher-Derivative Gravity
• Fractal geometry of higher derivative gravity
• Geometric operators in the asymptotic safety scenario for quantum gravity
• Deformed Special Relativity from Asymptotically Safe Gravity
• The phase diagram of Einstein-Weyl gravity
• $f(R,R_{\mu \nu }^2)$ at one loop
• Evolution of cosmological perturbations in an RG-driven inflationary scenario
• On the scaling of composite operators in Asymptotic Safety
• Heat kernel coefficients on the sphere in any dimension
• Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
• Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
• Exorcising Ghosts in Induced Gravity
• How robust are particle physics predictions in asymptotic safety?
• Asymptotic safety on the lattice: The Nonlinear O(N) Sigma Model
• On the traversability of wormhole solutions in asymptotically safe gravity
• The Spectral Geometry of de Sitter Space in Asymptotic Safety
• Constraints on discrete global symmetries in quantum gravity
• Non-symmetric wormholes and localized Big Rip singularities in Einstein-Weyl gravity
• Perturbative Asymptotic Safety and Its Phenomenological Applications
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Observable consequences of quantum gravity: Can light fermions exist?
• The higher-order phase transition in toroidal CDT
• The trouble with asymptotically safe inflation
• Visions in Quantum Gravity
• Schwarzschild-like Wormholes in Asymptotically Safe Gravity
• Infrared behavior of Weyl Gravity: Functional Renormalization Group approach
• Asymptotically safe phantom cosmology
• Asymptotic safety in the dark
• Steps towards Lorentzian quantum gravity with causal sets
• Five-dimensional scale-dependent black holes with constant curvature and Solv horizons
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Inflation with $f(R,\varphi )$ in Jordan frame
• Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity
• Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry
• Renormalization of Einstein gravity through a derivative-dependent field redefinition
• Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
• Scaling solutions for asymptotically free quantum gravity
• Towards a Higgs mass determination in asymptotically safe gravity with a dark portal
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Black holes in asymptotic safety with higher derivatives: accretion and stability analysis
• Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation
• Conformal Cores of Quantum Black Holes in Quadratic Gravity
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
• Stabilizing dark matter with quantum scale symmetry
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• A Universe from a Lagrangian Fixed Point
• Renormalization Flow of Nonlinear Electrodynamics
• Mass gap in non-perturbative quadratic ${\mathcal{R}}^2$ gravity via Dyson-Schwinger
• Emergence of phantom cold dark matter from spacetime diffusion
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Landau Theory of Causal Dynamical Triangulations