Quantum Dilatonic Gravity in d=2,4 and 5 Dimensions
Quantum Dilatonic Gravity in d=2,4 and 5 Dimensions
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DOI：
10.1142/s0217751x01002968
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发表时间：
2000-09
影响因子：
1.6
通讯作者：
S. Nojiri;S. Odintsov
中科院分区：
文献类型：
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作者：
S. Nojiri;S. Odintsov
我们（主要）回顾了用度量和膨胀来描述重力部分的理论中的量子效应。评估了二维和四维膨胀引力的单环有效作用。构造重整化群方程。发现了2d和4d膨胀子耦合理论的共形反常和诱导有效作用。它应用于黑洞热力学的量子方面的研究，例如霍金辐射的计算和黑洞参数的量子修正以及此类具有多个视界的物体的量子不稳定性的研究。给出了上述有效作用在爱因斯坦或布兰斯-迪克（超）引力中非奇异宇宙学模型构建中的应用以及超对称杨-米尔斯理论中诱导虫洞的研究。 5d 膨胀重力（致密 IIB 超重力的玻色子扇区）结合体积/边界（或 AdS/CFT）对应进行讨论。边界规范理论在零或非零温度下的运行规范耦合和夸克-反夸克势是根据 d=5 膨胀反德西特类背景解计算的，该背景解代表周期性时间的反德西特黑洞。
We review (mainly) quantum effects in the theories where the 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 the 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 the above effective action in the construction of nonsingular 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 nonzero temperature are calculated from d=5 dilatonic anti-de Sitter-like background solution which represents anti-de Sitter black hole for periodic time.