An asymptotically safe guide to quantum gravity and matter

Abstract

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity through an interacting fixed point of the Renormalization Group. Recently, asymptotic safety has been established in specific gauge-Yukawa models in four dimensions in perturbation theory, providing a starting point for asymptotically safe model building. Moreover, an asymptotically safe fixed point might even be induced in the Standard Model under the impact of quantum fluctuations of gravity in the vicinity of the Planck scale. This review contains an overview of the key concepts of asymptotic safety, its application to matter and gravity models, exploring potential phenomenological implications and highlighting open questions.

minor changes, references added; version identical with published one

References in corpus (52)

• Quantum Gravity at a Lifshitz Point
• Results from a search for dark matter in the complete LUX exposure
• Dark Matter Results from First 98.7-day Data of PandaX-II Experiment
• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Quantum scale invariance, cosmological constant and hierarchy problem
• On the renormalization group flow of f(R)-gravity
• Scale invariance, unimodular gravity and dark energy
• Critical $O(N)$ Models in $6-\epsilon$ Dimensions
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Renormalization Group flow of unimodular f(R) gravity
• Why should we care about the top quark Yukawa coupling?
• Ghost anomalous dimension in asymptotically safe quantum gravity
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Matter Induced Bimetric Actions for Gravity
• Curvature dependence of quantum gravity
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Hořava Gravity after GW170817
• How perturbative is quantum gravity?
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Second- and First-Order Phase Transitions in CDT
• Quantum gravity and charge renormalization
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Invitation to Random Tensors
• Nonminimal hints for asymptotic safety
• The Higgs Mass and the Scale of New Physics
• Renormalization Group Flow in CDT
• Large N flavor beta-functions: a recap
• Large curvature and background scale independence in single-metric approximations to asymptotic safety
• Asymptotically Safe Standard Model via Vector-Like Fermions
• Conformal Window 2.0: The Large $N_f$ Safe Story
• Coarse graining flow of spin foam intertwiners
• Asymptotically Safe Grand Unification
• UV conformal window for asymptotic safety
• Asymptotic safety guaranteed in supersymmetry
• Functional Renormalization Group analysis of rank 3 tensorial group field theory: The full quartic invariant truncation
• Primordial Entropy Production and Lambda-driven Inflation from Quantum Einstein Gravity
• Gauge-Yukawa theories: Beta functions at large $N_f$
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Price of Asymptotic Safety
• New higher-order transition in causal dynamical triangulations
• Asymptotic safety and the gauged SU(N) nonlinear sigma-model
• Safe Pati-Salam
• Inflation from Asymptotically Safe Theories
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• Split Weyl transformations in quantum gravity
• Quantum gravity, gauge coupling constants, and the cosmological constant
• Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
• Conformal Standard Model, Leptogenesis and Dark Matter
• The $\beta$-function for Yukawa theory at large $N_f$
• Conformal Data of Fundamental Gauge-Yukawa Theories
• $a$-theorem at large $N_f$
• Flowing to the continuum in discrete tensor models for quantum gravity

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• Effective scalar potential in asymptotically safe quantum gravity
• Peccei-Quinn Symmetry Breaking via Asymptotically Safe Dynamical Scalegenesis: A Walking Axicolor and Axion
• Scales and hierachies in asymptotically safe quantum gravity: a review
• BSM Matter providing Neutrino Masses and Gauge Unification