QUANTUM DILATONIC GRAVITY IN d=2,4 AND 5 DIMENSIONS

Abstract

We review (mainly) quantum effects in the theories where gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated.Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of above effective action in the construction of non-singular cosmological models in Einstein or Brans-Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang-Mills theory are given. 5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark-antiquark potential for boundary gauge theory at zero or non-zero temperature are calculated from d = 5 dilatonic Anti-de Sitter-like background solution which represents Anti-de Sitter black hole for periodic time.

Low Energy Effective Action for Dilatonic Braneworld —A Formalism for Inflationary Braneworld—

“…This is the more familiar form of trace-anomaly [21]. It is here AdS/CFT correspondence comes into the braneworld.…”

Superstrings in 2D backgrounds with R–R flux and new extremal black holes

“…It is curious to note that this de Sitter space is generated entirely by quantum effects (some other interesting quantum phenomena can be found in [49]). …”

On the classical stability of orientifold cosmologies

“…The most pressing question for issues of stability is the study of the quantum stress-energy tensor for the field Ψ. This is a non-trivial problem due to the non-minimal coupling to the metric and the dilaton, and only some results are known in the literature (see [50,51] and references therein). On the other hand, the problem might be tractable since the exact wave-functions are known in this case.…”

“…This action is a particular case of two-dimensional dilaton gravity (see [50,51] for reviews and a complete list of references), and we will find it most convenient to work in this framework from now on. Only at the end we will connect back to the discussion in three dimensions.…”