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利用砖墙模型对黑洞熵进行量子修正

Quantum corrections to the black hole entropy using the brick wall model

Gopinath Guin, Arpita Jana, Sunandan Gangopadhyay

arXiv 2609.00096首次发表:更新:

发表机构

S. N. Bose National Centre for Basic Sciences(S.N. 玻色基础科学国家中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究在雷斯纳-诺德斯特龙等黑洞框架下探究砖墙模型,未采用 lapse 函数近视界近似,得到更精确的黑洞熵次阶对数修正,修正熵大于常规贝肯斯坦-霍金熵,与巴罗熵结果一致。

AI 中文摘要

't Hooft 提出,为避免探测场的自由能或熵出现发散,必须引入红外(IR)截断。这种红外截断的引入,即砖墙模型,已针对史瓦西黑洞进行了研究,'t Hooft 证明,若要使熵达到贝肯斯坦-霍金熵的量级,截断必须为普朗克长度的量级。本研究在雷斯纳-诺德斯特龙黑洞、量子修正史瓦西黑洞以及量子修正雷斯纳-诺德斯特龙黑洞的框架下探究砖墙模型。特别地,我们证明砖墙模型可给出黑洞熵的次阶对数修正。本分析的重要之处在于,我们未采用 lapse 函数的近视界近似,从而得到了更精确的熵修正。该修正熵具有一个重要特性,即其大于常规贝肯斯坦-霍金熵,这与巴罗熵的结果一致。

英文摘要

It was suggested by 't Hooft that to avoid the divergence of the free energy or entropy of the probe fields, one has to introduce an infrared (IR) cutoff. This introduction of the IR cutoff, namely, the brick wall model, has been studied for the Schwarzschild black hole and has been shown by 't Hooft that to have the entropy of the order of Bekenstein-Hawking entropy, the cutoff must be of the order of Planck length. In this study, we investigated the brick wall model in the context of a Reissner-Nordstróm, quantum corrected Schwarzschild and quantum corrected Reissner-Nordström black holes. In particular, we have shown that the brick wall model can give logarithmic correction to the black hole entropy in the subleading order. The important aspect of our analysis is that we have not considered the near horizon approximation of the lapse function and get more accurate correction to the entropy. This corrected entropy has an important feature that it is larger than the usual Bekenstein-Hawking entropy which aligns with the result of Barrow entropy.

论文原文

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