Asymptotic safety in an interacting system of gravity and scalar matter

Abstract

Asymptotic safety is an attractive scenario for the dynamics of quantum spacetime. Here, we work from a phenomenologically motivated point of view and emphasize that a viable dynamics for quantum gravity in our universe must account for the existence of matter. In particular, we explore the scale-dependence of a scalar matter-gravity-vertex, and investigate whether an interacting fixed point exists for the so-defined Newton coupling. We find a viable fixed point in the pure-gravity system, disregarding scalar quantum fluctuations. We explore its extensions to the case with dynamical scalars, and find indications of asymptotic safety in the matter-gravity system. We moreover examine the anomalous dimensions for different components of the metric fluctuations, and find significant differences between the transverse traceless and scalar component.

An error in the beta function has been corrected; some results have changed slightly, the conclusions remain unchanged

References in corpus (21)

• Exact evolution equation for the effective potential
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• On the renormalization group flow of f(R)-gravity
• Asymptotic safety guaranteed
• Asymptotically Safe Lorentzian Gravity
• Fixed points of quantum gravity in extra dimensions
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Asymptotic safety in the f(R) approximation
• Search of scaling solutions in scalar-tensor gravity
• The Renormalization Group flow of unimodular f(R) gravity
• En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
• Ghost anomalous dimension in asymptotically safe quantum gravity
• Matter Induced Bimetric Actions for Gravity
• Background Independence and Asymptotic Safety in Conformally Reduced Gravity
• The local potential approximation in quantum gravity
• 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 in Einstein Gravity and Scalar-Fermion Matter
• Field Parametrization Dependence in Asymptotically Safe Quantum Gravity
• Quantum Phase Transitions in the BKL Universe

Cited by in corpus (70)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• The nonperturbative functional renormalization group and its applications
• Top mass from asymptotic safety
• One force to rule them all: asymptotic safety of gravity with matter
• Renormalization group fixed points of foliated gravity-matter systems
• An asymptotically safe solution to the U(1) triviality problem
• Aspects of asymptotic safety for quantum gravity
• Quantum-gravity effects on a Higgs-Yukawa model
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Upper bound on the Abelian gauge coupling from asymptotic safety
• Curvature dependence of quantum gravity
• Dynamical renormalization of black-hole spacetimes
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• Viability of quantum-gravity induced ultraviolet completions for matter
• Chiral fermions in asymptotically safe quantum gravity
• How perturbative is quantum gravity?
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Higgs scalar potential in asymptotically safe quantum gravity
• Effective universality in quantum gravity
• Finite Quantum Gravity Amplitudes -- no strings attached
• Nonminimal hints for asymptotic safety
• Correlation functions on a curved background
• Background independence in a background dependent renormalization group
• Variable Planck mass from the gauge invariant flow equation
• Graviton fluctuations erase the cosmological constant
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Constraining power of asymptotic safety for scalar fields
• The background scale Ward identity in quantum gravity
• $d=4$ as the critical dimensionality of asymptotically safe interactions
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Lorentz symmetry is relevant
• Quantum-gravity predictions for the fine-structure constant
• Cosmological bounds on the field content of asymptotically safe gravity-matter models
• Light charged fermions in quantum gravity
• Asymptotic safety, string theory and the weak gravity conjecture
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Physical renormalization schemes and asymptotic safety in quantum gravity
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• On the impact of Majorana masses in gravity-matter systems
• Infinite order quantum-gravitational correlations
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Scalar-Tensor theories within Asymptotic Safety
• Asymptotic Safety: Swampland or Wonderland?
• Asymptotically Safe Gravity with Fermions
• Nonperturbative renormalization group beyond melonic sector: The Effective Vertex Expansion method for group fields theories
• Gravitational antiscreening in stellar interiors
• Predictive power of grand unification from quantum gravity
• Functional renormalization group for the $U(1)$-$T_5^6$ tensorial group field theory with closure constraint
• The weak-gravity bound in asymptotically safe gravity-gauge systems
• Split Weyl transformations in quantum gravity
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Asymptotic freedom and safety in quantum gravity
• Is scale-invariance in gauge-Yukawa systems compatible with the graviton?
• Lessons from conformally reduced quantum gravity
• Are there ALPs in the asymptotically safe landscape?
• Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
• Unitary symmetry constraints on tensorial group field theory renormalization group flow
• An asymptotically safe guide to quantum gravity and matter
• Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
• Reconstructing the graviton
• Conformal Phase Diagram of Complete Asymptotically Free Theories
• Effective scalar potential in asymptotically safe quantum gravity
• A technique for natural gauge boson masses
• Lectures in Quantum Gravity
• Higgs phase in a gauge $\mathbf{U}(1)$ non-linear ${\mathbf{CP}}^1$-model. Two species of BPS vortices and their zero modes
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Vacuum energy, the Casimir effect, and Newton's non-constant
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Regulator dependence of fixed points in quantum Einstein gravity with $R^2$ truncation
• Asymptotically Safe Gravity-Fermion systems on curved backgrounds