The asymptotic safety scenario in quantum gravity

DOI10.12942/lrr-2006-5zbMath1255.83056OpenAlexW2134583661WikidataQ29028813 ScholiaQ29028813MaRDI QIDQ871715

Martin Reuter, Max R. Niedermaier

Publication date: 20 March 2007

Published in: Living Reviews in Relativity (Search for Journal in Brave)

Full work available at URL: http://www.livingreviews.org/lrr-2006-5

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45)

Related Items

Scalar resonance in graviton-graviton scattering at high-energies: the graviball ⋮ More on axial anomalies of Lifshitz fermions ⋮ Non-perturbative unitarity and fictitious ghosts in quantum gravity ⋮ Beta functions of topologically massive supergravity ⋮ Quantum gravity effects in Myers-Perry space-times ⋮ RG flows of quantum Einstein gravity on maximally symmetric spaces ⋮ Asymptotically safe gravity with fermions ⋮ On a renormalization group scheme for causal dynamical triangulations ⋮ TWO-CONNECTION RENORMALIZATION AND NON-HOLONOMIC GAUGE MODELS OF EINSTEIN GRAVITY ⋮ Making the case for causal dynamical triangulations ⋮ Statefinder analysis of scale-dependent cosmology ⋮ Scale and confinement phase transitions in scale invariant SU(\(N\)) scalar gauge theory ⋮ Asymptotic safety in the \(f(R)\) approximation ⋮ A functional renormalization group equation for foliated spacetimes ⋮ Asymptotic safety on the lattice: The nonlinear \(\mathrm O(N)\) sigma model ⋮ Large curvature and background scale independence in single-metric approximations to asymptotic safety ⋮ Asymptotic safety and the cosmological constant ⋮ The unitary conformal field theory behind 2D asymptotic safety ⋮ Gauges and functional measures in quantum gravity. I: Einstein theory ⋮ Background independent exact renormalization group for conformally reduced gravity ⋮ A proper fixed functional for four-dimensional quantum Einstein gravity ⋮ Solutions to the reconstruction problem in asymptotic safety ⋮ How not to establish the non-renormalizability of gravity ⋮ Spacetime condensation in (2+1)-dimensional CDT from a Hořava–Lifshitz minisuperspace model ⋮ Analytic continuation of functional renormalization group equations ⋮ Quantum gravity and gravitational-wave astronomy ⋮ Gravitational antiscreening in stellar interiors ⋮ FUNCTIONAL RENORMALIZATION OF NONCOMMUTATIVE SCALAR FIELD THEORY ⋮ BLACK HOLES AND ASYMPTOTICALLY SAFE GRAVITY ⋮ 3D tensor field theory: renormalization and one-loop \(\beta \)-functions ⋮ Running gauge coupling in asymptotically safe quantum gravity ⋮ Graviton-mediated scattering amplitudes from the quantum effective action ⋮ Singularity-free gravitational collapse and asymptotic safety ⋮ The asymptotic safety scenario in quantum gravity ⋮ Scaling solutions for dilaton quantum gravity ⋮ The phase structure of causal dynamical triangulations with toroidal spatial topology ⋮ Inter-theory relations in quantum gravity: correspondence, reduction, and emergence ⋮ Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime ⋮ Infinite order quantum-gravitational correlations ⋮ Finite entanglement entropy in asymptotically safe quantum gravity ⋮ Einstein-Weyl gravity from a topological \(\mathrm {SL}(5,\mathbb R)\) gauge invariant action ⋮ Reflection positivity in higher derivative scalar theories ⋮ Fixed points and infrared completion of quantum gravity ⋮ Essential nature of Newton's constant in unimodular gravity ⋮ Gravitational fixed points and asymptotic safety from perturbation theory ⋮ Black hole thermodynamics in asymptotically safe gravity ⋮ Multifractional theories: an unconventional review ⋮ Yukawa interactions at large charge ⋮ Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system ⋮ How universe evolves with cosmological and gravitational constants ⋮ The propagation kernel for strong coupling gravity ⋮ Combinatorial quantum gravity: geometry from random bits ⋮ On avoiding Ostrogradski instabilities within asymptotic safety ⋮ Einstein-Cartan gravity, asymptotic safety, and the running Immirzi parameter ⋮ QED coupled to QEG ⋮ Perturbative quantum gravity with the Immirzi parameter ⋮ The universal RG machine ⋮ Entropy production during asymptotically safe inflation ⋮ Functional renormalization group flows on Friedman-Lemaître-Robertson-Walker backgrounds ⋮ Naturalness, the autonomy of scales, and the 125 GeV Higgs ⋮ Bouncing and emergent cosmologies from Arnowitt–Deser–Misner RG flows ⋮ Upper bound on the abelian gauge coupling from asymptotic safety ⋮ Symplectic quantization. II: Dynamics of space-time quantum fluctuations and the cosmological constant ⋮ Renormalization group fixed points of foliated gravity-matter systems ⋮ Observable traces of non-metricity: new constraints on metric-affine gravity ⋮ Nonlocal scalar quantum field theory from causal sets ⋮ Functional renormalisation group approach for tensorial group field theory: a rank-3 model ⋮ Quantization of midisuperspace models ⋮ Renormalization scrutinized ⋮ Linking the trans-Planckian and information loss problems in black hole physics ⋮ On the impact of Majorana masses in gravity-matter systems ⋮ Quantum gravity and matter: counting graphs on causal dynamical triangulations ⋮ Scales and hierachies in asymptotically safe quantum gravity: a review ⋮ Fixed-functionals of three-dimensional quantum Einstein gravity ⋮ Asymptotically safe \(f(R)\)-gravity coupled to matter. I: The polynomial case ⋮ Charge renormalization due to graviton loops ⋮ Redundant operators in the exact renormalisation group and in the \(f\) (\(R\)) approximation to asymptotic safety ⋮ Euclidian 4d quantum gravity with a non-trivial measure term ⋮ Running couplings in quantum theory of gravity coupled with gauge fields ⋮ Renormalization group flow of Hořava-Lifshitz gravity at low energies ⋮ Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation ⋮ Rationale for a correlated worldline theory of quantum gravity ⋮ BRANES AND QUANTIZATION FOR AN A-MODEL COMPLEXIFICATION OF EINSTEIN GRAVITY IN ALMOST KÄHLER VARIABLES ⋮ Lorentz symmetry is relevant ⋮ Towards an UV fixed point in CDT gravity ⋮ Renormalization group and the Planck scale ⋮ The role of background independence for asymptotic safety in quantum Einstein gravity ⋮ The higher-order phase transition in toroidal CDT ⋮ Scalar-tensor theories within asymptotic safety ⋮ On de Sitter solutions in asymptotically safe $\boldsymbol {f(R)}$ theories ⋮ Gravity and unification: a review ⋮ Gauge protected entanglement between gravity and matter ⋮ On the reconstruction problem in quantum gravity ⋮ Asymptotic freedom and safety in quantum gravity ⋮ Multifractional theories: An updated review ⋮ On the renormalization group perspective of α-attractors ⋮ Spacetime completeness of non-singular black holes in conformal gravity ⋮ Foundations of quantum gravity: the role of principles grounded in empirical reality ⋮ Minimal length scale scenarios for quantum gravity ⋮ Testing Chern-Simons modified gravity with orbiting superconductive gravity gradiometers: the non-dynamical formulation ⋮ Scaling solutions for asymptotically free quantum gravity ⋮ Phase structure of quantum improved Schwarzschild-(Anti)de Sitter black holes ⋮ Bell nonlocality in maximal-length quantum mechanics ⋮ Foliated asymptotically safe gravity in the fluctuation approach ⋮ Ultraviolet-complete quantum field theories with fractional operators ⋮ An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds ⋮ Regular black hole from a confined spin connection in Poincaré gauge gravity ⋮ Non-perturbative Lee-Wick gauge theory: Towards Confinement & RGE with strong couplings ⋮ Asymptotic safety goes on shell ⋮ Dynamical system analysis of cosmologies with running cosmological constant from quantum Einstein gravity ⋮ Quantum Einstein gravity ⋮ Brans–Dicke theory in the local potential approximation ⋮ Corrections to gauge theories in effective quantum gravity with a cutoff ⋮ Renormalization of Lorentzian conformally reduced gravity ⋮ Form factors in asymptotic safety: conceptual ideas and computational toolbox ⋮ Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity ⋮ Black holes within asymptotic safety ⋮ Renormalization and unitarity in higher derivative and nonlocal gravity theories ⋮ Dilaton quantum gravity ⋮ Constraining the Asymptotically Safe cosmology: cosmic acceleration without dark energy ⋮ On the Lorentz symmetry in conformally reduced quantum gravity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Scaling exponents in quantum gravity near two dimensions
• Scale and conformal invariance in field theory: a physical counterexample
• Reduction in the number of coupling parameters
• Relation between effective couplings for asymptotically free models
• Fixed points of quantum gravity in extra dimensions
• Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einstein's field equations
• The asymptotic safety scenario in quantum gravity
• From 3-geometry transition amplitudes to graviton states
• A generalised manifestly gauge invariant exact renormalisation group for \(SU(N)\) Yang-Mills
• Nonlinear models in \(2+\epsilon\) dimensions
• Scaling-field representation of Wilson's exact renormalization-group equation
• Renormalization group in the local potential approximation
• 4-dimensional black holes from Kaluza-Klein theories
• Legendre transforms and r-particle irreducibility in quantum field theory: the formal power series framework
• The Riemannian geometry of the configuration space of gauge theories
• Quantum Liouville field theory as solution of a flow equation
• Discrete approaches to quantum gravity in four dimensions
• Perturbative quantum gravity and its relation to gauge theory
• The price of an exact, gauge-invariant RG-flow equation
• Dimensionally reduced gravity theories are asymptotically safe
• Critical \((\Phi^4)_{3,\epsilon}\)
• Quantized Einstein-Rosen waves, AdS\(_2\), and spontaneous symmetry breaking
• Non-perturbative renormalization flow in quantum field theory and statistical physics
• Quantum gravity in everyday life: general relativity as an effective field theory
• Renormalization group flows in \(\sigma \)-models coupled to two-dimensional dynamical gravity
• Unrenormalizable theories can be predictive
• On the support of the Ashtekar-Lewandowski measure
• Are nonrenormalizable gauge theories renormalizable?
• Classification of local generalized symmetries for the vacuum Einstein equations
• Perturbative renormalizability with an infinite number of relevant and marginal operators.
• Ultraviolet stable fixed point and scaling relations in \((2+\epsilon)\)-dimensional quantum gravity
• Conformal invariance and renormalization group in quantum gravity near two dimensions.
• On nonlinear \(\sigma\)-models arising in (super-)gravity
• Ernst equation and Riemann surfaces. Analytical and numerical methods
• Aspects of the functional renormalisation group
• Gravitational binding in 4D dynamical triangulation
• EFFECTIVE AVERAGE ACTION IN STATISTICAL PHYSICS AND QUANTUM FIELD THEORY
• Gravitational Solitons
• Diffusion and Reactions in Fractals and Disordered Systems
• Nöther charges, Brown–York quasilocal energy, and related topics
• Is quantum Einstein gravity nonperturbatively renormalizable?
• Fixed Points of Quantum Gravity
• ENERGY-MOMENTUM TENSOR IMPROVEMENTS IN TWO DIMENSIONS
• Fixed Points of Higher-Derivative Gravity
• Feynman Quantization of General Relativity
• Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
• Partial and complete observables for canonical general relativity
• FROM GRAVITONS TO GRAVITY: MYTHS AND REALITY
• On canonical irreducible quantum field theories describing bosons and fermions
• Dirac versus reduced quantization: a geometrical approach
• String Theory
• The principle of symmetric criticality in general relativity
• Poisson realization and quantization of the Geroch group
• Absence of higher derivatives in the renormalization of propagators in quantum field theories with infinitely many couplings
• Gravitational dressing of the renormalization group
• COVARIANT TECHNIQUES FOR COMPUTATION OF THE HEAT KERNEL
• On the ultraviolet behaviour of Newton's constant
• The running gravitational couplings
• Nonlocal quantum gravity and the size of the universe
• Background independent quantum gravity: a status report
• Dynamical triangulations, a gateway to quantum gravity?
• Functional integration over geometries
• QUANTUM CORRECTIONS TO NEWTON'S LAW
• From big bang to asymptotic de Sitter: complete cosmologies in a quantum gravity framework
• Quantum Gravity
• Quantum Theory of Gravity. I. The Canonical Theory
• Quantum Theory of Gravity. II. The Manifestly Covariant Theory
• A Method for Generating Solutions of Einstein's Equations
• A Method for Generating New Solutions of Einstein's Equation. II
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
• Loop quantum gravity: an outside view
• COSMOLOGICAL PERTURBATIONS IN RENORMALIZATION GROUP DERIVED COSMOLOGIES
• The path integral measure, conformal factor problem and stability of the ground state of quantum gravity
• Exact scheme independence
• An algebraic bootstrap for dimensionally reduced quantum gravity
• Exact renormalization group equations: an introductory review
• Dynamically triangulating Lorentzian quantum gravity
• Proof of a generalized Geroch conjecture for the hyperbolic Ernst equation