Is quantum Einstein gravity nonperturbatively renormalizable?

DOI10.1088/0264-9381/19/3/304zbMath0993.83012arXivhep-th/0110021OpenAlexW2001748296MaRDI QIDQ2784139

Publication date: 17 April 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0110021

zbMATH Keywords

Einstein-Hilbert action quantum Einstein gravity higher derivative term nonperturbatively renormalizable

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (80)

RG flows of quantum Einstein gravity on maximally symmetric spaces ⋮ NONLOCAL EFFECTIVE FIELD EQUATIONS FOR QUANTUM COSMOLOGY ⋮ A functional renormalization group equation for foliated spacetimes ⋮ RG flows of Quantum Einstein Gravity in the linear-geometric approximation ⋮ Large curvature and background scale independence in single-metric approximations to asymptotic safety ⋮ En route to background independence: Broken split-symmetry, and how to restore it with bi-metric average actions ⋮ Lectures on renormalization and asymptotic safety ⋮ Asymptotic safety and the cosmological constant ⋮ A proper fixed functional for four-dimensional quantum Einstein gravity ⋮ Averaging procedure in variable-$G$ cosmologies ⋮ The ``tetrad only theory space: nonperturbative renormalization flow and asymptotic safety ⋮ BLACK HOLES AND ASYMPTOTICALLY SAFE GRAVITY ⋮ Perturbative Renormalization by Flow Equations ⋮ Running gauge coupling in asymptotically safe quantum gravity ⋮ The asymptotic safety scenario in quantum gravity ⋮ Infinite order quantum-gravitational correlations ⋮ Finite entanglement entropy in asymptotically safe quantum gravity ⋮ Scaling solutions for asymptotically free quantum gravity ⋮ Foliated asymptotically safe gravity in the fluctuation approach ⋮ Universal critical behavior in tensor models for four-dimensional quantum gravity ⋮ The spectral geometry of de Sitter space in asymptotic safety ⋮ Fakeons and the classicization of quantum gravity: the FLRW metric ⋮ Causality, unitarity and stability in quantum gravity: a non-perturbative perspective ⋮ Matter induced bimetric actions for gravity ⋮ Bimetric renormalization group flows in quantum Einstein gravity ⋮ Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system ⋮ Dimensionally reduced gravity theories are asymptotically safe ⋮ On the possibility of a novel (A)dS/CFT relationship emerging in asymptotic safety ⋮ NOETHER SYMMETRY APPROACH TO SCALAR-FIELD-DOMINATED COSMOLOGY WITH DYNAMICALLY EVOLVING G AND Λ ⋮ Renormalization of 3d quantum gravity from matrix models ⋮ A class of renormalization group invariant scalar field cosmologies ⋮ Einstein-Cartan gravity, asymptotic safety, and the running Immirzi parameter ⋮ Taming perturbative divergences in asymptotically safe gravity ⋮ QED coupled to QEG ⋮ Renormalization group flow of Weyl invariant dilaton gravity ⋮ Asymptotic safety goes on shell ⋮ Dynamical system analysis of cosmologies with running cosmological constant from quantum Einstein gravity ⋮ Quantum Einstein gravity ⋮ Entropy production during asymptotically safe inflation ⋮ Predictive power of grand unification from quantum gravity ⋮ COSMOLOGICAL PERTURBATIONS IN RENORMALIZATION GROUP DERIVED COSMOLOGIES ⋮ Mass, Inertia, and Gravitation ⋮ Regulator dependence of fixed points in quantum Einstein gravity with R ² truncation ⋮ Upper bound on the abelian gauge coupling from asymptotic safety ⋮ Renormalization of Lorentzian conformally reduced gravity ⋮ Renormalization group fixed points of foliated gravity-matter systems ⋮ On the quantum field theory of the gravitational interactions ⋮ Cosmology of Bianchi type-I metric using renormalization group approach for quantum gravity ⋮ A black hole solution of higher-dimensional Weyl–Yang–Kaluza–Klein theory ⋮ Asymptotic Safety, Fractals, and Cosmology ⋮ Black holes within asymptotic safety ⋮ Bimetric truncations for quantum Einstein gravity and asymptotic safety ⋮ A matter-dominated cosmological model with variable $G$ and $\Lambda $ and its confrontation with observational data ⋮ Dilaton gravity in two dimensions ⋮ Fractal space-times under the microscope: a renormalization group view on Monte Carlo data ⋮ Fixed points of quantum gravity in extra dimensions ⋮ Constraints on gravitational scaling dimensions from non-local effective field equations ⋮ Variable $G$ and $\Lambda $ gravity theory and analytical cosmological solutions using Noether symmetry approach ⋮ Ultraviolet fixed points in conformal gravity and general quadratic theories ⋮ Renormalization group equations of Higgs-$R^2$ inflation ⋮ Noether symmetry approach in matter-dominated cosmology with variable $G$ and $\Lambda$ ⋮ Fixed-functionals of three-dimensional quantum Einstein gravity ⋮ Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation ⋮ Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity ⋮ ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY ⋮ Renormalization group and the Planck scale ⋮ The role of background independence for asymptotic safety in quantum Einstein gravity ⋮ Fixed Points of Quantum Gravity ⋮ Fixed Points of Higher-Derivative Gravity ⋮ On the scaling of composite operators in asymptotic safety ⋮ The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models ⋮ Scalar-tensor theories within asymptotic safety ⋮ A link that matters: towards phenomenological tests of unimodular asymptotic safety ⋮ On de Sitter solutions in asymptotically safe $\boldsymbol {f(R)}$ theories ⋮ Asymptotic freedom and safety in quantum gravity ⋮ ON THE POSSIBILITY OF QUANTUM GRAVITY EFFECTS AT ASTROPHYSICAL SCALES ⋮ Are there ALPs in the asymptotically safe landscape? ⋮ Pregeometry and spontaneous time-space asymmetry ⋮ INCONSISTENCIES FROM A RUNNING COSMOLOGICAL CONSTANT ⋮ Is asymptotically safe inflation eternal?

This page was built for publication: Is quantum Einstein gravity nonperturbatively renormalizable?