Ultraviolet properties of f(R)-Gravity
arXiv:0705.1769 · doi:10.1142/S0217751X08038135
Abstract
We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has three ultraviolet-attractive and four ultraviolet-repulsive directions; this brings further support to the hypothesis that gravity is nonperturbatively renormalizabile.
4 pages
References in corpus (23)
- Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
- Exact evolution equation for the effective potential
- General relativity as an effective field theory: The leading quantum corrections
- Nonperturbative Evolution Equation for Quantum Gravity
- Optimised Renormalisation Group Flows
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- Loop Quantum Gravity
- Fixed points of quantum gravity
- Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
- One-loop f(R) gravity in de Sitter universe
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
- Dynamically Triangulating Lorentzian Quantum Gravity
- Fixed Points of Higher Derivative Gravity
- The Running Gravitational Couplings
- Asymptotic Safety of Gravity Coupled to Matter
- Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
- Fixed points of quantum gravity in extra dimensions
- Higher Derivative Quantum Gravity with Gauss-Bonnet Term
- Towards Nonperturbative Renormalizability of Quantum Einstein Gravity
- Dimensionally reduced gravity theories are asymptotically safe
- Non-Perturbative Gravity and the Spin of the Lattice Graviton
Cited by in corpus (203)
- The nonperturbative functional renormalization group and its applications
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Quantum Einstein Gravity
- Asymptotic safety in higher-derivative gravity
- Fundamentals of the Exact Renormalization Group
- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
- On the renormalization group flow of f(R)-gravity
- Asymptotically Safe Lorentzian Gravity
- Further evidence for asymptotic safety of quantum gravity
- Taming perturbative divergences in asymptotically safe gravity
- Renormalisation group and the Planck scale
- Asymptotic safety of gravity-matter systems
- Bimetric Renormalization Group Flows in Quantum Einstein Gravity
- Renormalization Group Flow in Scalar-Tensor Theories. I
- Local Quantum Gravity
- The Gravitational Two-Loop Counterterm is Asymptotically Safe
- Asymptotic safety in the f(R) approximation
- Towards apparent convergence in asymptotically safe quantum gravity
- Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
- Asymptotically Safe Inflation
- Search of scaling solutions in scalar-tensor gravity
- One force to rule them all: asymptotic safety of gravity with matter
- The Renormalization Group flow of unimodular f(R) gravity
- Asymptotic freedom of Yang-Mills theory with gravity
- Physics searches at the LHC
- Quantum gravity on foliated spacetime - asymptotically safe and sound
- Asymptotic safety of quantum gravity beyond Ricci scalars
- Asymptotic safety: a simple example
- Renormalization group fixed points of foliated gravity-matter systems
- Generalized Parametrization Dependence in Quantum Gravity
- Black holes and asymptotically safe gravity
- Ghost anomalous dimension in asymptotically safe quantum gravity
- Light fermions in quantum gravity
- Black holes within Asymptotic Safety
- A flow equation for f(R) gravity and some of its exact solutions
- Resolving Spacetime Singularities within Asymptotic Safety
- Structural aspects of asymptotically safe black holes
- Lectures on renormalization and asymptotic safety
- Aspects of asymptotic safety for quantum gravity
- Matter Induced Bimetric Actions for Gravity
- Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
- Background Independence and Asymptotic Safety in Conformally Reduced Gravity
- Quantum gravity: a fluctuating point of view
- Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
- Renormalization Group Equation and scaling solutions for f(R) gravity in exponential parametrization
- 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
- Quantum Gravity Effects in the Kerr Spacetime
- Chiral fermions in asymptotically safe quantum gravity
- The Universal RG Machine
- Consistent closure of renormalization group flow equations in quantum gravity
- Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
- The R^2 phase-diagram of QEG and its spectral dimension
- Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
- 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
- Black holes in an asymptotically safe gravity theory with higher derivatives
- On the number of relevant operators in asymptotically safe gravity
- Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity
- A functional renormalization group equation for foliated spacetimes
- Super-renormalizable or finite completion of the Starobinsky theory
- From renormalization group flows to cosmology
- Correlation functions on a curved background
- Lattice Quantum Gravity and Asymptotic Safety
- Inflationary solutions in asymptotically safe f(R) theories
- Functional renormalization with fermions and tetrads
- Renormalization Group Equation for gravity on hyperbolic spaces
- Conformally reduced quantum gravity revisited
- Towards the determination of the dimension of the critical surface in asymptotically safe gravity
- Fixed-Functionals of three-dimensional Quantum Einstein Gravity
- On the UV structure of quantum unimodular gravity
- Asymptotic safety and field parametrization dependence in the f(R) truncation
- RG flows of Quantum Einstein Gravity on maximally symmetric spaces
- Asymptotically Safe Starobinsky Inflation
- Fixed Points of Nonlinear Sigma Models in d>2
- Signatures of gravitational fixed points at the LHC
- The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
- Impact of topology in foliated Quantum Einstein Gravity
- Large curvature and background scale independence in single-metric approximations to asymptotic safety
- Asymptotically Safe Cosmology
- Renormalization Group Flow in Scalar-Tensor Theories. II
- Asymptotic Safety, Fractals, and Cosmology
- The background scale Ward identity in quantum gravity
- Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
- Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems
- Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
- Reconstructing the inflationary from observations
- Scale Setting for Self-consistent Backgrounds
- Asymptotic safety of simple Yukawa systems
- 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
- An asymptotic safety scenario for gauged chiral Higgs-Yukawa models
- Asymptotic Safety, Emergence and Minimal Length
- Einstein-Cartan gravity, Asymptotic Safety, and the running Immirzi parameter
- Minimal models for and dark matter confront asymptotic safety
- Physical renormalization schemes and asymptotic safety in quantum gravity
- 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 theories
- One loop beta functions and fixed points in Higher Derivative Sigma Models
- On the impact of Majorana masses in gravity-matter systems
- Dynamical System Analysis of Cosmologies with Running Cosmological Constant from Quantum Einstein Gravity
- Low energy Quantum Gravity from the Effective Average Action
- Infinite order quantum-gravitational correlations
- Bouncing and emergent cosmologies from ADM RG flows
- Scalar-Tensor theories within Asymptotic Safety
- Quantum Equivalence of Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
- Asymptotic safety and the cosmological constant
- Asymptotically Safe Gravity with Fermions
- Fixed Points of Quantum Gravity and the Renormalisation Group
- Background Scale Independence in Quantum Gravity
- Higher Derivative Gravity from the Universal Renormalization Group Machine
- Consistent early and late time cosmology from the RG flow of gravity
- The Tensor Theory Space
- Propagating gravitons vs. dark matter in asymptotically safe quantum gravity
- Infrared fixed point in quantum Einstein gravity
- Modulated Ground State of Gravity Theories with Stabilized Conformal Factor
- Exact black hole solution for scale dependent gravitational couplings and the corresponding coupling flow
- Higgs inflation and quantum gravity: An exact renormalisation group approach
- Asymptotically Safe gravity and non-singular inflationary Big Bang with vacuum birth
- Avoidance of singularities in asymptotically safe Quantum Einstein Gravity
- One-loop divergences for gravity
- Fixed Points of Quantum Gravity and the Dimensionality of the UV Critical Surface
- Kähler-Dirac fermions on Euclidean dynamical triangulations
- Universality and symmetry breaking in conformally reduced quantum gravity
- Scalegenesis and fermionic dark matters in the flatland scenario
- Naturally small Yukawa couplings from trans-Planckian asymptotic safety
- Flavor anomalies from asymptotically safe gravity
- Signature Change of the Metric in CDT Quantum Gravity?
- Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
- Universal critical behavior in tensor models for four-dimensional quantum gravity
- Brans-Dicke theory in the local potential approximation
- Exploring new corners of asymptotically safe unimodular quantum gravity
- Renormalisation group improvement of scalar field inflation
- Comment on Asymptotically Safe Inflation
- Entropy Production during Asymptotically Safe Inflation
- Towards a -function in 4D quantum gravity
- Functional Renormalisation for Quantum Gravity
- How universe evolves with cosmological and gravitational constants
- Renormalization Group and Black Hole Production in Large Extra Dimensions
- Quantum gravity effects in Myers-Perry space-times
- Lessons from conformally reduced quantum gravity
- Searching for a continuum limit in causal dynamical triangulation quantum gravity
- A curvature bound from gravitational catalysis in thermal backgrounds
- Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
- On classicalization in nonlinear sigma models
- Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
- Background independent exact renormalisation
- A new functional flow equation for Einstein-Cartan quantum gravity
- On the weak-gravity bound for a shift-symmetric scalar field
- Constraints on solutions to the flavor anomalies with trans-Planckian asymptotic safety
- One Loop Beta Functions in Topologically Massive Gravity
- RG flow equations for the proper-vertices of the background effective average action
- Geometric operators in the asymptotic safety scenario for quantum gravity
- Scalar-Tensor gravity with system-dependent potential and its relation with Renormalization Group extended General Relativity
- Functional Renormalization of Noncommutative Scalar Field Theory
- at one loop
- Evolution of cosmological perturbations in an RG-driven inflationary scenario
- On the cutoff identification and the quantum improvement in asymptotically safe gravity
- On the scaling of composite operators in Asymptotic Safety
- Provable properties of asymptotic safety in approximation
- Critical scaling in the large- model in higher dimensions and its possible connection to quantum gravity
- An Estimate of Λin Resummed Quantum Gravity in the Context of Asymptotic Safety
- Naturally small neutrino mass with asymptotic safety and gravitational-wave signatures
- How robust are particle physics predictions in asymptotic safety?
- On the Renormalization Group perspective of -attractors
- Geodesic congruences in quantum improved spacetimes
- Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
- On characterizing the Quantum Geometry underlying Asymptotic Safety
- The trouble with asymptotically safe inflation
- Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
- Functional renormalization of N scalars with O(N) invariance
- Fixed Functionals in Asymptotically Safe Gravity
- Vanishing dimensions: Review
- Neutron Stars in Palatini and Theories
- Einstein-Heisenberg Consistency Condition Interplay with Cosmological Constant Prediction in Resummed Quantum Gravity
- On the effect of renormalization group improvement on the cosmological power spectrum
- Running of the Cosmological Constant and Estimate of its Value in Quantum General Relativity
- Asymptotically Safe Hilbert-Palatini Gravity in an On-Shell Reduction Scheme
- Ruling out models of vector dark matter in asymptotically safe quantum gravity
- Non-perturbative quantum Galileon in the exact renormalization group
- Regulator dependence of fixed points in quantum Einstein gravity with truncation
- Black holes in asymptotic safety with higher derivatives: accretion and stability analysis
- Stabilizing dark matter with quantum scale symmetry
- On the quantum gravastar
- RG flows of Quantum Einstein Gravity in the linear-geometric approximation
- Prediction for the Cosmological Constant and Constraints on Susy GUTS in Resummed Quantum Gravity
- Inflation in asymptotically safe f(R) theory
- Scales and hierachies in asymptotically safe quantum gravity: a review
- IR-Improved Amplitude-Based Resummation in Quantum Field Theory: New Results and New Issues
- One-loop Euclidean Einstein-Weyl gravity in de Sitter universe
- An asymptotic-safety mechanism for chiral Yukawa systems
- Stability of the de-Sitter universe: One-loop nonlocal gravity
- The stability of the de-Sitter universe in nonlocal gravity
- Prediction for the Cosmological Constant in Resummed Quantum Gravity and Constraints on SUSY GUT's
- Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
- Gravitationally Induced UV Completion of an Scalar Theory