The Asymptotic Safety Scenario in Quantum Gravity

By M. Niedermaier, Martin Reuter. Living Reviews in Relativity, 2006

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/bc849bdaf6176ed29553cf09492182a11722dd5b

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Citations in the corpus

Spherically symmetric solutions in higher-derivative gravity (2015, background): “Such issues have recently been discussed in the context of the asymptotic safety program for quantum gravity [6], but to date there does not appear to be a consensus on this point.”
Cosmology of the Lifshitz universe (2009, methodology): “Other independent approaches are asymptotically safe Quantum Einstein Gravity (QEG) [7]–[29] (reviewed in [28, 30, 31]) and Causal Dynamical Triangulations (CDT), a Lorentzian path-integral formulation of quantum gravity where the integral is performed over piecewise flat 4-geometries [32]–[43] (for”
Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “The interested reader is referred to reviews specifically dedicated to the topic, for example [240, 202, 260].”
The effective field theory treatment of quantum gravity (2012, background): “These observations pose questions for the sub-field of Asymptotic Safety[41, 42].”
Black Hole Remnants and the Information Loss Paradox (2014, background): “oaches zero Hawking temperature conguration as it evaporates away. Nevertheless, doubt has been raised recently regarding this solution [144]. For reviews on asymptotically safe quantum gravity, see [145] and [146]. { Gravity’s rainbow: The idea known as gravity’s rainbow was suggested by Magueijo a”