Curvature dependence of quantum gravity

Abstract

We investigate the phase diagram of quantum gravity with a vertex expansion about constantly-curved backgrounds. The graviton two- and three-point function are evaluated with a spectral sum on a sphere. We obtain, for the first time, curvature-dependent UV fixed point functions of the dynamical fluctuation couplings $g^{\ast }(R)$, ${\mu }^{\ast }(R)$, and ${\lambda }_3^{\ast }(R)$, and the background $f(R)$-potential. Based on these fixed point functions we compute solutions to the quantum and the background equation of motion with and without Standard Model matter. We have checked that the solutions are robust against changes of the truncation.

18 pages, 9 figures; v2: typos corrected, refs updated

References in corpus (37)

• 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
• Asymptotically Safe Lorentzian Gravity
• xPert: Computer algebra for metric perturbation theory
• Fixed points of quantum gravity in extra dimensions
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Asymptotic safety in the f(R) approximation
• Top mass from asymptotic safety
• Search of scaling solutions in scalar-tensor gravity
• The Renormalization Group flow of unimodular f(R) gravity
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• 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
• Upper bound on the Abelian gauge coupling from asymptotic safety
• The local potential approximation in quantum gravity
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Quantum gravity and Standard-Model-like fermions
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Nonminimal hints for asymptotic safety
• Correlation functions on a curved background
• Inflationary solutions in asymptotically safe f(R) theories
• Large curvature and background scale independence in single-metric approximations to asymptotic safety
• Asymptotically Safe Cosmology
• Background independent exact renormalization group for conformally reduced gravity
• The background scale Ward identity in quantum gravity
• Asymptotic solutions in asymptotic safety
• On avoiding Ostrogradski instabilities within Asymptotic Safety
• Asymptotic Safety, Singularities, and Gravitational Collapse
• Propagating gravitons vs. dark matter in asymptotically safe quantum gravity
• Modulated Ground State of Gravity Theories with Stabilized Conformal Factor
• Inflation from Asymptotically Safe Theories
• Split Weyl transformations in quantum gravity
• Covariant and background independent functional RG flow for the effective average action
• Evolution of cosmological perturbations in an RG-driven inflationary scenario

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