Dilaton gravity in two-dimensions

By D. Grumiller, W. Kummer, D. Vassilevich. 2002

531 citations recorded by the source corpus.

Abstract The study of general two-dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important examples of spherically symmetric Black Holes, together with string inspired models, belong to this class, valuable knowledge can also be gained for these systems in the quantum case. In the last decade, new insights regarding the exact quantization of the geometric part of such theories have been obtained. They allow a systematic quantum field theoretical treatment, also in interactions with matter, without explicit introduction of a specific classical background geometry. The present review tries to assemble these results in a coherent manner, putting them at the same time into the perspective of the quite large literature on this subject.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/00c85c900ebdbb6d6e5d84825aa57807d7e47c7d

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Time‐dependent orbifolds and string cosmology (2003, unknown): “The inherent simplicity of the dilaton gravity model lies in the following observations [76, 77].”
Liouville Field Theory — A decade after the revolution (2004, unknown): “[237], [238], [239], [240].”
Heat kernel expansion: user's manual (2003, background): “ormal anomaly (7.16) were reported in [86,344,321,345]. The reason for these discrepancies was clearly stated by Dowker [160] who conﬁrmed the result (7.16). More extensive literature can be found in [265]. 64 In four dimensions the conformal anomaly for diﬀerent spins can be read oﬀ from (4.35) wit”
Holographic Description of AdS_2 Black Holes (2008, background): “1 Bulk action and equations of motion There exist many 2D dilaton gravity models that admit an AdS ground state (see [23, 24] and references therein).”
Models of AdS2 backreaction and holography (2014, background): “= 1 16ˇG p g 2R+ (r) 2 U() ; (2.1) characterized by the parameter and the potential U(). Here 1 =Gis proportional to V, the volume of X. More general models of dilaton gravity are reviewed in Refs. [11,12]. The Weyl transformation g ab!g ab =2 (2.2) shifts ! ; U() ! =2U() : (2.3) Thus can be set to ”
Loop quantum gravity: an outside view (2005, background): “See also [152] for a review of dilaton gravity with many further references.”
Notes on islands in asymptotically flat 2d dilaton black holes (2020, background): “behaviour of islands in variety of other models, see [19].”
Instability in cosmological topologically massive gravity at the chiral point (2008, background): “ount the number of ﬁrst- and second-class constraints. See also Ref. [30] for a recent canonical analysis along these lines and Ref. [31] for a corresponding analysis at ℓ = 0. – 11 – dilaton gravity [38] approach extending the analysis of [39,40] could be helpful (see also [41]). We also recall tha”
Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter (2004, background): “, quantization of gravity yields a non-local theory for the remaining matter degrees of freedom (for reviews [132,133] may be consulted).”
Thermodynamics of black holes in two (and higher) dimensions (2007, methodology): “[ 3 ,63]. While the bulk term and the Gibbons-Hawking-York boundary term look quite dierent from ( rst order formulation, we expect that the boundary counterterm (2.29) can be translated easily to its rst order counterpart, because it depends solely on the dilaton eld and the induced volume form at ”