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Cited by 438

The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.

Ultraviolet fixed point and generalized flow equation of quantum gravity

Open access
Lauscher, O., Reuter, M.·2001·Physical Review D
DOI 10.1103/physrevd.65.025013
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Abstract

A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in the transverse-traceless decomposition of the metric. It facilitates both the construction of an appropriate infrared cutoff and the projection of the renormalization group flow onto a large class of truncated parameter spaces. The Einstein-Hilbert truncation is investigated in detail and the fixed point structure of the resulting flow is analyzed. Both a Gaussian and a non-Gaussian fixed point are found. If the non-Gaussian fixed point is present in the exact theory, quantum Einstein gravity is likely to be renormalizable at the nonperturbative level. In order to assess the reliability of the truncation a comprehensive analysis of the scheme dependence of universal quantities is performed. We find strong evidence supporting the hypothesis that 4-dimensional Einstein gravity is asymptotically safe, i.e. nonperturbatively renormalizable. The renormalization group improvement of the graviton propagator suggests a kind of dimensional reduction from 4 to 2 dimensions when spacetime is probed at sub-Planckian length scales.

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Metadata

Authors
Lauscher, O., & Reuter, M.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2001-12-26
Volume
65
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1089-4918
DOI
10.1103/physrevd.65.025013
OpenAlex
W2148908350
Cited by
438
References
51
FWCI
6.27
Type
journal article
Language
en
Open access
green

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