Taming perturbative divergences in asymptotically safe gravity

Abstract

We use functional renormalization group methods to study gravity minimally coupled to a free scalar field. This setup provides the prototype of a gravitational theory which is perturbatively non-renormalizable at one-loop level, but may possess a non-trivial renormalization group fixed point controlling its UV behavior. We show that such a fixed point indeed exists within the truncations considered, lending strong support to the conjectured asymptotic safety of the theory. In particular, we demonstrate that the counterterms responsible for its perturbative non-renormalizability have no qualitative effect on this feature.

31 pages, revised and expanded version, 3 appendices added with full details, typos corrected

References in corpus (5)

• Ultraviolet properties of f(R)-Gravity
• On the renormalization group flow of f(R)-gravity
• The Nonperturbative Quantum de Sitter Universe
• Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
• Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity

Cited by in corpus (1)

• On the renormalization group flow of f(R)-gravity