Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-26
Int.J.Mod.Phys.A16:1015-1108,2001
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 92 pages, to appear in IJMPA review section
Scientific paper
10.1142/S0217751X01002968
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.
Nojiri Shin'ichi
Odintsov Sergei D.
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