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.

LaTeX file, 92 pages, to appear in IJMPA review section

References in corpus (43)

• Large N Field Theories, String Theory and Gravity
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• Diffeomorphisms and Holographic Anomalies
• The Supergravity Dual of N=1 Super Yang-Mills Theory
• Vacuum States for AdS_2 Black Holes
• On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
• On Subleading Contributions to the AdS/CFT Trace Anomaly
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• Confinement and Condensates Without Fine Tuning in Supergravity Duals of Gauge Theories
• Exotic Scalar States in the AdS/CFT Correspondence
• Two ferromagnetic phases in La1-xSrxMnO3(x ~1/8)
• Thermodynamics of Spinning Branes and their Dual Field Theories
• Quantum Corrections to the Thermodynamics of Charged 2-D Black Holes
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• Hawking radiation from dilaton gravity in 1 + 1 dimensions: a pedagogical review
• Can primordial wormholes be induced by GUTs at the early Universe?
• Anomalies, Unitarity and Quantum Irreversibility
• The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence
• The Dimensional-Reduction Anomaly
• Dilaton driven Hawking radiation in AdS${}_2$ black hole
• Two Two-Dimensional Supergravity Theories from Calabi-Yau Four-Folds
• One-loop Conformal Anomalies From AdS/CFT in the Schrodinger Representation
• Confinement in 4D Yang-Mills Theories from Non-Critical Type 0 String Theory
• Super Weyl Anomalies in the AdS/CFT Correspondence
• Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
• Running gauge coupling and quark-antiquark potential from dilatonic gravity
• Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
• Inflationary Brans-Dicke Quantum Universe
• Curvature Dependence of Running Gauge Coupling and Confinement in AdS/CFT Correspondence
• Branes, Waves and AdS Orbifolds
• Integrable models and degenerate horizons in two-dimensional gravity
• Two-dimensional effective action for matter fields coupled to the dilaton
• (Non) singular Kantowski-Sachs Universe from quantum spherically reduced matter
• Strong Coupling Limit of $\mathcal{N}=2$ SCFT Free Energy and Higher Derivative AdS/CFT Correspondence
• Running Gauge Coupling and Quark-Antiquark Potential in Non-SUSY Gauge Theory at Finite Temperature from IIB SG/CFT correspondence
• Axion-Dilatonic Conformal Anomaly from Ads/CFT Correspondence
• Quantum corrections for the Reisner-Nordstrom black hole
• Thermodynamics of D-brane Probes
• Counterterms for the Dirichlet Prescription of the AdS/CFT Correspondence
• Probing the Strong Coupling Limit of Large N SYM on Curved Backgrounds
• A Candidate for Renormalizable and Diffeomorphism Invariant 4D Quantum Theory of Gravity
• Hawking Radiation in the Dilaton Gravity with a Non-Minimally Coupled Scalar Field
• Dilatonic AdS-Kerr Solution to AdS/CFT Correspondence

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