砖墙模型不能给出黑洞熵

杨学军; 赵峥

doi:10.7498/aps.60.080402

摘要

砖墙模型被广泛用于静态或稳态黑洞熵的计算,但为了避免发散,砖墙模型需要引入一紫外截断因子. 截断因子的引入至今没有给以合理的解释. 有工作表明,用砖墙模型或薄膜模型计算黑洞熵时,若采用广义不确定关系则可以去掉截断因子. 证明了将广义不确定关系用于砖墙模型计算Schwarzschild黑洞熵时,由于砖墙模型给出熵的第一项既是Bekenstein-Hawking项又含有截断因子,因此在去掉截断因子的同时也丢掉了Bekenstein-Hawking项,将得不到黑洞熵.

关键词:

Abstract

The brick-wall model is widely used to calculate the entropies of static or stationary black holes. An ultraviolet cutoff factor needs to be introduced to remove the divergence of the result in brick-wall model. The cutoff factor has not been explained reasonably up to now. A study indicated that when the brick-wall model or thin film model was used to calculate the black hole entropy, the ultraviolet cutoff factor could be discarded if the generalized uncertainty relation was adopted. In this paper, it is proved that since the first term of Schwarzschild black hole entropy formula in the brick-wall model is not only the Bekenstein-Hawking term but also the term containing the ultraviolet cutoff factor, when the cutoff factor is removed, the Bekenstein-Hawking term is lost and the black hole entropy cannot be obtained by using the generalized uncertainty relation in brick-wall model.

Keywords:

作者及机构信息

杨学军¹,
赵峥²

1.
绍兴文理学院物理与电子信息系,绍兴 312000;

2.
北京师范大学物理系,北京 100875

基金项目: 国家自然科学基金(批准号:10873003, 11045005)和浙江省自然科学基金(批准号:Y6090739)资助的课题.

Authors and contacts

Yang Xue-Jun¹,
Zhao Zheng²

1.
Department of Physics and Electronic Information, Shaoxing University of Arts and Sciences, Shaoxing 312000, China;

2.
Department of Physics, Beijing Normal University, Beijing 100875, China

参考文献

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施引文献

[1]	Hooft G't 1985 Nucl. Phys. B 256 727
[2]	Ho J, Kim W T, Park Y J, Shin H 1997 Class. Quantum Grav. 14 2617
[3]
[4]
[5]	Jing J L 1998 Int. J. Theor. Phys. 37 1441
[6]
[7]	Li G Q 2003 Acta Phys. Sin. 52 1346 (in Chinese) [李固强 2003 物理学报 52 1346]
[8]
[9]	Mi L Q 2004 Acta Phys. Sin. 53 2065 (in Chinese) [米丽琴 2004 物理学报 53 2065]
[10]	Zhao R, Zhang L C 2001 Acta Phys. Sin. 50 593 (in Chinese) [赵仁、张丽春 2001 物理学报 50 593]
[11]
[12]
[13]	Su J Q, Li C A 2005 Acta Phys. Sin. 54 530 (in Chinese) [苏九清、李传安 2005 物理学报 54 530]
[14]	Liu C Z 2005 Acta Phys. Sin. 54 1977 (in Chinese) [刘成周 2005 物理学报 54 1977]
[15]
[16]
[17]	Zhang J H, Zhang Q S 2005 Acta Phys. Sin. 54 5500 (in Chinese) [张建华、张青松 2005 物理学报 54 5500]
[18]
[19]	Li X 2002 Phys. Lett. B 540 9
[20]
[21]	Ashtekar A, Rovelli C, Smolin L 1992 Phys. Rev. Lett. 69 237
[22]
[23]	Gross D J, Mende P F 1988 Nucl. Phys. B 303 407
[24]	Amati D, Ciafaloni M, Veneziano G 1987 Phys. Lett. B 197 81
[25]
[26]
[27]	Maggiore M 1994 Phys. Rev. D 49 5182
[28]
[29]	Witten E 1997 Phys. Today 49 24
[30]
[31]	Kempf A, Mangano G, Mann R B 1995 Phys. Rev. D 52 1180
[32]	Chang L N, Minic D, Okaruma N, Takeuchi T 2002 Phys. Rev. D 65 125028
[33]

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