The DOI matches its Crossref record; 149 of the 149 references it cites were found in a registry or an index.
The asymptotic safety scenario in quantum gravity: an introduction
Open accessAbstract
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.
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Cites
Introduction to Quantum Field Theory
Milonni, P. W. (1994) · The Quantum Vacuum · doi:10.1016/b978-0-08-057149-2.50014-x · Cited by 4,040
Quantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385
General Relativity – An Einstein Centenary Survey
Irvine, J. M. (1980) · Physics Bulletin · doi:10.1088/0031-9112/31/4/029 · Cited by 2,620
Renormalization of higher-derivative quantum gravity
Stelle, K. S. (1977) · Physical Review D · doi:10.1103/physrevd.16.953 · Cited by 2,563
Wilson, K. G. (1971) · Physical Review B · doi:10.1103/physrevb.4.3174 · Cited by 2,334
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272
Rovelli, C. (2004) · doi:10.1017/cbo9780511755804 · Cited by 2,240
An Introduction To Quantum Field Theory
Peskin, M. E. (2018) · CRC Press eBooks · doi:10.1201/9780429503559 · Cited by 2,090
Greene, B. R., Morrison, D. R., & Polchinski, J. (1998) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.95.19.11039 · Cited by 1,964
Quantum Theory of Gravity. II. The Manifestly Covariant Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.162.1195 · Cited by 1,765
Cited by
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
Self-citationInvestigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Codello, A., Percacci, R., & Rahmede, C. (2009) · Annals of Physics · doi:10.1016/j.aop.2008.08.008 · Cited by 538
Reuter, M., & Saueressig, F. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/5/055022 · Cited by 375
Quantum gravity from causal dynamical triangulations: a review
Loll, R. (2020) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab57c7 · Cited by 359
Further evidence for asymptotic safety of quantum gravity
Falls, K., Litim, D., Nikolakopoulos, K., & Rahmede, C. (2016) · Physical Review D · doi:10.1103/physrevd.93.104022 · Cited by 220
Metadata
- Authors
- Niedermaier, M.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2007-08-30
- Volume
- 24
- Issue
- 18
- Pages
- R171-R230
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2134821743
- Cited by
- 264
- References
- 149
- FWCI
- 11.36
- Type
- journal article
- Language
- en
- Open access
- green
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