Quantum Einstein gravity and asymptotic safety

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

I review some of the salient points of the construction of a perturbative quantum theory of the dimensionally reduced pure Einstein gravity from 4 to 2 dimensions assuming that the 4 dimensional (4D) metrics admit two commuting Killing vectors. The dimensionally reduced theory corresponds to an 0(1,2) symmetric σ-model coupled to two scalar fields in flat spacetime. It inherits the lack of standard perturbative renormalizability from 4D gravity, however, it turns out that strict cutoff independence can be achieved to all loop orders in a space of Lagrangians differing only by a field dependent conformai factor. The renormalization group flow possesses a unique non-Gaussian fixed point at which the trace anomaly vanishes. The existence of this non-Gaussian fixed point is compatible with Weinberg's "asymptotic safety" scenario.

Original languageEnglish
Title of host publicationGribov Memorial Volume
Subtitle of host publicationQuarks, Hadrons, and Strong Interactions - Proceedings of the Memorial Workshop Devoted to the 75th Birthday of V N Gribov
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages522-535
Number of pages14
ISBN (Print)9812567569, 9789812567567
DOIs
Publication statusPublished - 2006
EventGribov Memorial Workshop Devoted to the 75th Birthday of V N Gribov: Quarks, Hadrons, and Strong Interactions - Budapest, Hungary
Duration: May 22 2005May 24 2005

Publication series

NameGribov Memorial Volume: Quarks, Hadrons, and Strong Interactions - Proceedings of the Memorial Workshop Devoted to the 75th Birthday of V N Gribov

Other

OtherGribov Memorial Workshop Devoted to the 75th Birthday of V N Gribov: Quarks, Hadrons, and Strong Interactions
CountryHungary
CityBudapest
Period5/22/055/24/05

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Forgács, P. (2006). Quantum Einstein gravity and asymptotic safety. In Gribov Memorial Volume: Quarks, Hadrons, and Strong Interactions - Proceedings of the Memorial Workshop Devoted to the 75th Birthday of V N Gribov (pp. 522-535). (Gribov Memorial Volume: Quarks, Hadrons, and Strong Interactions - Proceedings of the Memorial Workshop Devoted to the 75th Birthday of V N Gribov). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789812773784_0045