Scaling solutions for asymptotically free quantum gravity

Abstract

We compute scaling solutions of functional flow equations for quantum gravity in a general truncation with up to four derivatives of the metric. They connect the asymptotically free ultraviolet fixed point, which is accessible to perturbation theory, to the non-perturbative infrared region. The existence of such scaling solutions is necessary for a renormalizable quantum field theory of gravity. If the proposed scaling solution is confirmed beyond our approximations asymptotic freedom is a viable alternative to asymptotic safety for quantum gravity.

arXiv comment19 pages, 10 figures, version published in JHEP

References in corpus (117)

• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Nonperturbative Evolution Equation for Quantum Gravity
• The Exact Renormalisation Group and Approximate Solutions
• Aspects of the Functional Renormalisation Group
• Quintessential inflation
• The nonperturbative functional renormalization group and its applications
• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Exact Renormalization Group Equations. An Introductory Review
• Asymptotic safety of gravity and the Higgs boson mass
• Quantum Einstein Gravity
• An Introduction to the Nonperturbative Renormalization Group
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Asymptotic safety in higher-derivative gravity
• Critical Exponents from the Effective Average Action
• Non-Trivial Ultraviolet Fixed Point in Quantum Gravity
• Introduction to the functional RG and applications to gauge theories
• Fixed Points of Higher Derivative Gravity
• Deflationary Universe Scenario
• Agravity
• Flow Equations for N Point Functions and Bound States
• Fundamentals of the Exact Renormalization Group
• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• The Asymptotic Safety Scenario in Quantum Gravity -- An Introduction
• Matter matters in asymptotically safe quantum gravity
• Further evidence for asymptotic safety of quantum gravity
• Elements of the Continuous Renormalization Group
• Taming perturbative divergences in asymptotically safe gravity
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Local Quantum Gravity
• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• QED coupled to QEG
• Asymptotic safety in the f(R) approximation
• Towards apparent convergence in asymptotically safe quantum gravity
• Top mass from asymptotic safety
• Search of scaling solutions in scalar-tensor gravity
• Global Flows in Quantum Gravity
• Unitarity, stability and loops of unstable ghosts
• 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
• Quintessential Inflation with $\alpha$-attractors
• Renormalization group fixed points of foliated gravity-matter systems
• Higher Derivative Quantum Gravity with Gauss-Bonnet Term
• Conformal Symmetry and Central Charges in 4 Dimensions
• Resolving Spacetime Singularities within Asymptotic Safety
• An asymptotically safe solution to the U(1) triviality problem
• Quantum-gravity effects on a Higgs-Yukawa model
• Aspects of asymptotic safety for quantum gravity
• Agravity up to infinite energy
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Variable gravity: A suitable framework for quintessential inflation
• Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Curvature dependence of quantum gravity
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Viability of quantum-gravity induced ultraviolet completions for matter
• Conformal Quantum Gravity with the Gauss-Bonnet Term
• Emergent scale symmetry: Connecting inflation and dark energy
• Asymptotic safety in $O(N)$ scalar models coupled to gravity
• Mass difference for charged quarks from asymptotically safe quantum gravity
• Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions
• Chiral fermions in asymptotically safe quantum gravity
• How perturbative is 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
• Higgs scalar potential in asymptotically safe quantum gravity
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Effective universality in quantum gravity
• Observational constraints on successful model of quintessential Inflation
• Zooming in on fermions and quantum gravity
• Non-perturbative unitarity and fictitious ghosts in quantum gravity
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Dark Matter meets Quantum Gravity
• Inflation, quintessence, and the origin of mass
• Towards the determination of the dimension of the critical surface in asymptotically safe gravity
• Variable Planck mass from the gauge invariant flow equation
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Graviton fluctuations erase the cosmological constant
• Constraining power of asymptotic safety for scalar fields
• Asymptotic solutions in asymptotic safety
• Quantum-gravity predictions for the fine-structure constant
• Essential Quantum Einstein Gravity
• Light charged fermions in quantum gravity
• Minimal models for $g-2$ and dark matter confront asymptotic safety
• Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories
• Safety in darkness: Higgs portal to simple Yukawa systems
• Gauge-invariant fields and flow equations for Yang-Mills theories
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• Quintessential inflation: A tale of emergent and broken symmetries
• On the impact of Majorana masses in gravity-matter systems
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Quintessential Inflation in a thawing realization
• Coupling Quintessence to Inflation in Supergravity
• Predictive power of grand unification from quantum gravity
• Scalegenesis and fermionic dark matters in the flatland scenario
• Naturally small Yukawa couplings from trans-Planckian asymptotic safety
• Can quantum fluctuations differentiate between standard and unimodular gravity?
• Flavor anomalies from asymptotically safe gravity
• Relational observables in Asymptotically safe gravity
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Asymptotic freedom and safety in quantum gravity
• Infrared limit of quantum gravity
• Functional Renormalisation for $f(R_{\mu \nu \rho \sigma })$ Quantum Gravity
• Fundamental Scale Invariance
• Are there ALPs in the asymptotically safe landscape?
• Gravitational instantons and anomalous chiral symmetry breaking
• Asymptotic safety and gauged baryon number
• Provable properties of asymptotic safety in $f(R)$ approximation
• Pregeometry and euclidean quantum gravity
• Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
• Scaling solution for field-dependent gauge couplings in quantum gravity
• Asymptotically free and safe quantum gravity scenarios consistent with Hubble, laboratory, and inflation scale physics
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective