Year: 2007
Type: 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. All presently known evidence is surveyed: (a) from the 2 + expansion, (b) from the perturbation theory of higher derivative gravity theories and a ‘large N ’ expansion in the number of matter fields, (c) from the 2-Killing vector reduction and (d) from truncated flow equations for the effective average action. Special emphasis is given to the role of perturbation theory as a guide to ‘asymptotic safety’. Furthermore it is argued that as a consequence of the scenario the self-interactions appear two dimensional in the extreme ultraviolet. Two appendices discuss the distinct roles of the ultraviolet renormalization in perturbation theory and in the flow equation formalism.
Source: Classical and Quantum Gravity
Author: M Niedermaier
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2134821743