Scaling solutions for Dilaton Quantum Gravity

Abstract

Scaling solutions for the effective action in dilaton quantum gravity are investigated within the functional renormalization group approach. We find numerical solutions that connect ultraviolet and infrared fixed points as the ratio between scalar field and renormalization scale $k$ is varied. In the Einstein frame the quantum effective action corresponding to the scaling solutions becomes independent of $k$. The field equations derived from this effective action can be used directly for cosmology. Scale symmetry is spontaneously broken by a non-vanishing cosmological value of the scalar field. For the cosmology corresponding to our scaling solutions, inflation arises naturally. The effective cosmological constant becomes dynamical and vanishes asymptotically as time goes to infinity.

7 pages, 4 figures

References in corpus (13)

• Cosmology and the Fate of Dilatation Symmetry
• Exact evolution equation for the effective potential
• Asymptotic safety in higher-derivative gravity
• Fixed Points of Higher Derivative Gravity
• Quantum scale invariance, cosmological constant and hierarchy problem
• On the renormalization group flow of f(R)-gravity
• Fixed points of quantum gravity in extra dimensions
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Search of scaling solutions in scalar-tensor gravity
• Asymptotic safety: a simple example
• Ghost anomalous dimension in asymptotically safe quantum gravity
• Quantum Gravity on the Lattice
• Eternal Universe

Cited by in corpus (42)

• The nonperturbative functional renormalization group and its applications
• Towards apparent convergence in asymptotically safe quantum gravity
• One force to rule them all: asymptotic safety of gravity with matter
• Quantum gravity on foliated spacetime - asymptotically safe and sound
• Renormalization group fixed points of foliated gravity-matter systems
• Asymptotically safe cosmology - a status report
• An asymptotically safe solution to the U(1) triviality problem
• Aspects of asymptotic safety for quantum gravity
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Quantum gravity: a fluctuating point of view
• Curvature dependence of quantum gravity
• Dynamical renormalization of black-hole spacetimes
• Emergent scale symmetry: Connecting inflation and dark energy
• 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
• Correlation functions on a curved background
• Renormalization Group Equation for $f(R)$ gravity on hyperbolic spaces
• Variable Planck mass from the gauge invariant flow equation
• Graviton fluctuations erase the cosmological constant
• Constraining power of asymptotic safety for scalar fields
• Lorentz symmetry is relevant
• Asymptotic solutions in asymptotic safety
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Physical renormalization schemes and asymptotic safety in quantum gravity
• The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
• Infinite order quantum-gravitational correlations
• Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions
• Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames
• From quantum gravity to gravitational waves through cosmic strings
• Infrared limit of quantum gravity
• Fundamental Scale Invariance
• Cosmology from pregeometry
• Reconstructing the graviton
• Primordial flat frame -- a new view on inflation
• Effective scalar potential in asymptotically safe quantum gravity
• Scaling solution for field-dependent gauge couplings in quantum gravity
• Non-perturbative quantum Galileon in the exact renormalization group
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Planck scale operators, inflation and fine tuning
• Non-singular Bounce from a Phase transition