Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

Grumiller, Daniel; Hofmann, Daniel; Kummer, Wolfgang

doi:10.1006/aphy.2001.6149

Cited by 10 publications

(12 citation statements)

References 44 publications

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“…These "two-dilaton theories" have been studied in more detail in [194]. The most interesting feature of such theories is that one dilaton field plays the role of a "geometric" dilaton field in D = 2 and the other one behaves like matter, providing continuous physical degrees of freedom.…”

Section: Dilatonmentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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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.

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Section: Dilatonmentioning

confidence: 99%

Dilaton gravity in two dimensions

2002

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“…Due to the rigidity result [17] mentioned in footnote 2 a natural framework would be a scalar-tensor theory a la Jordan-Brans-Dicke [55] or its more recent incarnation as quintessence [56]. A brief discussion of scalar-tensor theories in the framework of 2D models can be found in [57]. It should be possible to apply the methods of this work to the dimensionally reduced models treated in that reference.…”

Section: Relaxing the Conditions And Conclusionmentioning

confidence: 99%

Long time black hole evaporation with bounded Hawking flux

Grumiller

2004

J. Cosmol. Astropart. Phys.

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The long time behavior of an evaporating black hole presents a challenge to theoretical physics and touches relevant conceptual issues of quantum gravity, such as the information paradox. There are basically two strategies: top-down, i.e., to construct first a full quantum theory of gravity and to discuss black hole evaporation as a particular application thereof, and bottom-up, i.e., to sidestep the difficulties inherent to the former approach by invoking "reasonable" ad-hoc assumptions.Exploiting the fact that the Schwarzschild black hole can be described by means of an effective theory in 2D, a particular dilaton gravity model, the latter route is pursued. A crucial technical ingredient is Izawa's result on consistent deformations of 2D BF theory, while the most relevant physical assumption is boundedness of the asymptotic matter flux during the whole evaporation process. Together with technical assumptions which can be relaxed, the dynamics of the evaporating black hole is described by means of consistent deformations of the underlying gauge symmetries with only one important deformation parameter. An attractor solution, the endpoint of the evaporation process, is found. Its metric is flat. However, the behavior of the dilaton field (which corresponds to the surface area) is nontrivial: it is argued that during the final flicker a first order phase transition occurs from a linear to a constant dilaton vacuum. Consequently, a shock wave is emitted as a final "thunderbolt" with a total energy of a fraction of the Planck mass. Relations to ultrarelativistic boosts are pointed out. Another fraction of the Planck mass may reside in a cold remnant.The physical discussion addresses the life time, the specific heat, the Carter-Penrose diagram, the information paradox and cosmological implications. The phenomenon of "dilaton evaporation" to a constant dilaton vacuum might be of relevance also for higherdimensional scalar tensor theories. *

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“…scalar fields) to the scalar curvature is assumed. In particular, Spherically Reduced Gravity (SRG) provides a simple model to study four-dimensional Hawking radiation by a two-dimensional dilaton action with just one dilaton field [2,3,4]. This is of special importance in connection with the correct computation of the Hawking flux, which had been the subject of some controversy [5,6].…”

Section: Introductionmentioning

confidence: 99%

IR renormalization of general effective actions and Hawking flux in 2D gravity theories

Hofmann

Kummer

2006

Eur. Phys. J. C

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The infrared problem of the effective action in 2D is discussed in the framework of the Covariant Perturbation Theory. The divergences are regularised by a mass and the leading term is evaluated up to the third order of perturbation theory. A summation scheme is proposed which isolates the divergences from the finite part of the series and results in a single term. The latter turns out to be equivalent to the coupling to a certain classical external field. This suggests a renormalisation by factorisation.

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Two-Dilaton Theories in Two Dimensions from Dimensional Reduction

Cited by 10 publications

References 44 publications

Dilaton gravity in two dimensions

Dilaton gravity in two dimensions

Long time black hole evaporation with bounded Hawking flux

IR renormalization of general effective actions and Hawking flux in 2D gravity theories

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