Vol. 9 (2006) > lrr-2006-5

doi: 10.12942/lrr-2006-5
Living Rev. Relativity 9 (2006), 5

The Asymptotic Safety Scenario in Quantum Gravity

1 Laboratoire de Mathematiques et Physique Theorique, CNRS/UMR 6083, Université de Tours, Parc de Grandmont, 37200 Tours, France
2 Institute of Physics, University of Mainz, Staudingerweg 7, 55099 Mainz, Germany

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Article Abstract

The asymptotic safety scenario in quantum gravity is reviewed, according to which a renormalizable quantum theory of the gravitational field is feasible which reconciles asymptotically safe couplings with unitarity. The evidence from symmetry truncations and from the truncated flow of the effective average action is presented in detail. A dimensional reduction phenomenon for the residual interactions in the extreme ultraviolet links both results. For practical reasons the background effective action is used as the central object in the quantum theory. In terms of it criteria for a continuum limit are formulated and the notion of a background geometry self-consistently determined by the quantum dynamics is presented. Self-contained appendices provide prerequisites on the background effective action, the effective average action, and their respective renormalization flows.

Keywords: quantum gravity

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Max Niedermaier and Martin Reuter,
"The Asymptotic Safety Scenario in Quantum Gravity",
Living Rev. Relativity 9,  (2006),  5. URL (cited on <date>):
http://www.livingreviews.org/lrr-2006-5

Article History

ORIGINAL http://www.livingreviews.org/lrr-2006-5
Title The Asymptotic Safety Scenario in Quantum Gravity
Author Max Niedermaier / Martin Reuter
Date accepted 23 October 2006, published 1 December 2006
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