One-loop effective action for spherical scalar field collapse

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.

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“…(53). Keeping all the surface terms and using the classical field equations resulting from the action (47) we obtain the total derivative…”

Section: Quantum Equivalence In the Models Of 2d Dilatonic Gravitymentioning

confidence: 99%

“…Similar calculations have been also made in refs. [51,52,53,54,55,56] for dilaton coupled scalars. Using the conformal anomaly (see eq.…”

Section: D Dilaton Coupled Scalar and Quantum Dilaton: Conformal Anomentioning

confidence: 99%

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

Nojiri

Odintsov

2001

Int. J. Mod. Phys. A

130

102

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“…Our approximation consists of the fact that we do the functional integration of f in 2D action (11) and not in the full 3D action. We use the methods developed in [16,17]. The result which we obtained for the one-loop effective action is…”

Section: General Settingmentioning

confidence: 99%

Quantum Corrections for BTZ Black Hole via 2D Reduced Model

Burić

Dimitrijević

Radovanovic

2003

Particle Physics in the New Millennium

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The one-loop quantum corrections for BTZ black hole are considered using the dimensionally reduced 2D model. Cases of 3D minimal and conformal coupling are analyzed. Two cases are considered: minimally coupled and conformally coupled 3D scalar matter. In the minimal case, the Hartle-Hawking and Unruh vacuum states are defined and the corresponding semiclassical corrections of the geometry are found. The calculations are done for the conformal case too, in order to make the comparison with the exact results obtained previously in the special case of spinless black hole. Beside that we find exact corrections for AdS 2 black hole for 2D minimally coupled scalar field in the Hatrle-Hawking and Boulware state.

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“…Note, that the effective actions for 2D dilaton models are analyzed in various papers [18,16,17,19,20,21,22,23,24,25,26].…”

Section: General Settingmentioning

confidence: 99%

“…We will later use the fact that for J = 0 we get AdS 2 black hole. 16 Finally, we can compare the metric corrections which are in [13] given in the large mass limit. The function µ(r) used in [13] is proportional to our m(r).…”

Section: Conformal Couplingmentioning

confidence: 99%