The asymptotic safety scenario in quantum gravity: an introduction
By M. Niedermaier. 2006
214 citations recorded by the source corpus.
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 + ϵ 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9fe881ce6d8832b70eb70858a2b47ebc6ac4b9c4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
- M. Niedermaier
- Steven Carlip
- Martin Reuter
- Dong-han Yeom
- Y. Ong
- Pisin Chen
- Gianluca Calcagni
- J. W. Moffat
In Nuclear and High Energy Physics
- M. Niedermaier
- Steven Carlip
- Martin Reuter
- Dong-han Yeom
- Y. Ong
- Pisin Chen
- Gianluca Calcagni
- A. Eichhorn
In Statistical and Nonlinear Physics
- M. Niedermaier
- Steven Carlip
- Martin Reuter
- Dong-han Yeom
- Y. Ong
- Pisin Chen
- Gianluca Calcagni
- A. Eichhorn
Citations in the corpus
- The Asymptotic Safety Scenario in Quantum Gravity (2006, methodology): “The strategy in the FRGE approach is to show that this assumption, although without a-priori justification, is consistent with the solutions of the flow equation k ddkΓ∞,k = rhs (where right-hand-side now also refers to the Hessian of Γ∞,k).”
- Dimension and dimensional reduction in quantum gravity (2017, background): “Anomalous dimensions can differ for different fields, but in asymptotic safety the reduction to d = 2 occurs for matter as well as gravity [5].”
- Black Hole Remnants and the Information Loss Paradox (2014, background): “For reviews on asymptotically safe quantum gravity, see [145] and [146].”