Consistent early and late time cosmology from the RG flow of gravity

Abstract

We investigate the compatibility of cosmological constraints on inflation and the cosmological constant with the asymptotic safety scenario of quantum gravity. The effective action is taken to be of $f(R)$ form, truncated to second order. The flow generated by the Functional Renormalisation Group Equation is analysed and it is found to allow for trajectories that are compatible with the observational constraints on the parameters of the action, both at early and late cosmological times. In particular, the gravitational effective dynamics generated in the trans-Planckian regime flows to Starobinsky inflation at early times and to standard Einstein Gravity with a cosmological constant at late times. Moreover, the cosmological constant acquires an energy dependence at $10^{-2}$ eV, increasing from its current value of $10^{-66}{\text{eV}}^2$ on Hubble scale to a value of $10^{30}{\text{eV}}^2$ at inflation scale.

v2 matches the JCAP accepted version

References in corpus (21)

• Exact evolution equation for the effective potential
• The Standard Model Higgs boson as the inflaton
• Inflation scenario via the Standard Model Higgs boson and LHC
• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• Asymptotically Safe Lorentzian Gravity
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Asymptotic safety in the f(R) approximation
• One force to rule them all: asymptotic safety of gravity with matter
• Quantum gravity fluctuations flatten the Planck-scale Higgs potential
• The local potential approximation in quantum gravity
• Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Inflationary solutions in asymptotically safe f(R) theories
• The Higgs Mass and the Scale of New Physics
• Asymptotic safety and field parametrization dependence in the f(R) truncation
• Quantum equivalence of $f(R)$ gravity and scalar-tensor theories
• Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model
• Inflation in an effective gravitational model & asymptotic safety
• Cosmological bounds on the field content of asymptotically safe gravity-matter models
• Quantum Equivalence of $f(R)$ Gravity and Scalar-tensor Theories in the Jordan and Einstein Frames

Cited by in corpus (20)

• The nonperturbative functional renormalization group and its applications
• Resolving Spacetime Singularities within Asymptotic Safety
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Higgs scalar potential in asymptotically safe quantum gravity
• From renormalization group flows to cosmology
• Constraining power of asymptotic safety for scalar fields
• Lorentz symmetry is relevant
• Asymptotic Safety: Swampland or Wonderland?
• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• A curvature bound from gravitational catalysis in thermal backgrounds
• On the weak-gravity bound for a shift-symmetric scalar field
• The Spectral Geometry of de Sitter Space in Asymptotic Safety
• Scale-invariance at the core of quantum black holes
• Purely metric Horndeski theories and spontaneous curvaturization of black holes
• Ruling out models of vector dark matter in asymptotically safe quantum gravity
• Self-tuning inflation
• Vacuum Energy and Renormalization of the Field-Independent Term
• Causality, unitarity and stability in quantum gravity: a non-perturbative perspective
• Asymptotically free and safe quantum gravity scenarios consistent with Hubble, laboratory, and inflation scale physics
• Sign Switching Dark Energy from a Running Barrow Entropy