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Cited by 383

The DOI matches its Crossref record; 147 of the 147 references it cites were found in a registry or an index.

Nonperturbative quantum gravity

Open access
Ambjørn, J., Görlich, A., Jurkiewicz, J., Loll, R.·2012·Physics Reports
DOI 10.1016/j.physrep.2012.03.007
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Abstract

Abstract Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry. It is formulated in the framework of the Wilsonian renormalization group and relies crucially on the existence of an ultraviolet fixed point, for which evidence has been found using renormalization group equations in the continuum. “Causal Dynamical Triangulations” (CDT) is a concrete research program to obtain a nonperturbative quantum field theory of gravity via a lattice regularization, and represented as a sum over spacetime histories. In the Wilsonian spirit one can use this formulation to try to locate fixed points of the lattice theory and thereby provide independent, nonperturbative evidence for the existence of a UV fixed point. We describe the formalism of CDT, its phase diagram, possible fixed points and the “quantum geometries” which emerge in the different phases. We also argue that the formalism may be able to describe a more general class of Hořava–Lifshitz gravitational models.

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Metadata

Authors
Ambjørn, J., Görlich, A., Jurkiewicz, J., & Loll, R.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2012-10
Volume
519
Issue
4-5
Pages
127-210
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/j.physrep.2012.03.007
OpenAlex
W2098261606
Cited by
383
References
147
FWCI
16.54
Type
journal article
Language
en
Open access
green

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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