Taming perturbative divergences in asymptotically safe gravity
Feb, 2009
16 pages
Published in:
- Nucl.Phys.B 824 (2010) 168-191
e-Print:
- 0902.4630 [hep-th]
Report number:
- PI-QG-120,
- ITP-UU-09-08,
- SPIN-09-8,
- IPHT-T09-024
View in:
Citations per year
Abstract: (arXiv)
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.Note:
- 16 pages
- renormalization group: fixed point
- field theory: scalar
- gravitation
- perturbation theory: higher-order
- asymptotic safety
- Einstein equation: solution
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