Vacuum Polarization in the Schwarzschild Spacetime and Dimensional Reduction
Vacuum Polarization in the Schwarzschild Spacetime and Dimensional Reduction
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DOI：
10.1103/physrevd.63.084029
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发表时间：
2000-12
影响因子：
5
通讯作者：
R. Balbinot;A. Fabbri;Piero Nicolini;V. Frolov;P. Sutton;A. Zelnikov
中科院分区：
文献类型：
--
作者：
R. Balbinot;A. Fabbri;Piero Nicolini;V. Frolov;P. Sutton;A. Zelnikov
研究了在史瓦西时空中传播的与引力最小耦合的无质量标量场。球对称下的降维后，产生的2D场论的正则量子化和重整化的期望值的相关能量动量张量算子的研究。本文给出了在Boulware、Unruh和Hartle-Hawking态下的渐近行为和解析近似。特别注意的是黑洞视界区域的WKB近似打破。
A massless scalar field minimally coupled to gravity and propagating in Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the renormalized expectation values 〈Tab〉 of the relevant energy-momentum tensor operator are investigated. Asymptotic behaviors and analytical approximations are given for 〈Tab〉 in the Boulware, Unruh and Hartle-Hawking states. Special attention is devoted to the black-hole horizon region where the WKB approximation breaks down.