Asymptotic safety in higher-derivative gravity

Abstract

We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative ultraviolet fixed point into a non-trivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

8 pages; 1 figure; revised version

References in corpus (5)

• Fixed Points of Higher Derivative Gravity
• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• The Nonperturbative Quantum de Sitter Universe
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity

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• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
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• Matter Induced Bimetric Actions for Gravity
• The Universal RG Machine
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Asymptotic Safety in Einstein Gravity and Scalar-Fermion Matter
• Asymptotic Safety, Emergence and Minimal Length
• Comment on Asymptotically Safe Inflation
• Deformed Special Relativity from Asymptotically Safe Gravity
• Evolution of cosmological perturbations in an RG-driven inflationary scenario