arXiv 1007.44562010-07-26hep-thgr-qc

量子修正与黑洞谱学

Quantum corrections and black hole spectroscopy

Qing-Quan Jiang, Yan Han, Xu Cai

备注：: 14 pages, no figure, use JHEP3.cls. to be published in JHEP
发表信息：: JHEP 1008:049,2010
DOI：: 10.1007/JHEP08(2010)049

摘要：

在\cite{BRM,RBE}的工作中，黑洞光谱已成功地再现在隧道图像。结果表明，在不同引力（包括Einstein引力、Einstein-Gauss-Bonnet引力和Hoenava-Lifshitz引力）下，黑洞的熵谱都是均匀分布的，其形式与物理过程仅限于半经典框架的$S_n=n$相同.然而，真实的物理图像应该超越半经典近似。在这种情况下，物理量将经历更高阶的量子修正，其对不同引力的影响以不同的形式分享。基于这些事实，本文旨在观察不同引力下量子修正对黑洞光谱的影响。结果表明，在存在高阶量子修正的情况下，不同引力下的黑洞谱仍然具有与$S_n=n$相同的形式，进一步证实了熵量子不仅与黑洞参数无关，而且与高阶量子修正无关的普适性.这是即将到来的量子引力理论所期望的结果。

英文摘要：

In the work \cite{BRM,RBE}, black hole spectroscopy has been successfully reproduced in the tunneling picture. As a result, the derived entropy spectrum of black hole in different gravity (including Einstein's gravity, Einstein-Gauss-Bonnet gravity and Hořava-Lifshitz gravity) are all evenly spaced, sharing the same forms as $S_n=n$, where physical process is only confined in the semiclassical framework. However, the real physical picture should go beyond the semiclassical approximation. In this case, the physical quantities would undergo higher-order quantum corrections, whose effect on different gravity shares in different forms. Motivated by these facts, in this paper we aim to observe how quantum corrections affect black hole spectroscopy in different gravity. The result shows that, in the presence of higher-order quantum corrections, black hole spectroscopy in different gravity still shares the same form as $S_n=n$, further confirming the entropy quantum is universal in the sense that it is not only independent of black hole parameters, but also independent of higher-order quantum corrections. This is a desiring result for the forthcoming quantum gravity theory.

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