Taming perturbative divergences in asymptotically safe gravity

Details Taming perturbative divergences in asymptotically safe gravity Taming perturbative divergences in asymptotically safe gravity

2009-02-26

arxiv.org/abs/0902.4630v3

Nucl.Phys.B824:168-191,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2009.08.023

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.

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