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Statistical Entropy of a Higher-Dimensional Black Hole
ZhaoRen,GuoYong,DingBingJun 한국물리학회 2003 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.43 No.6
By using the method of quantum statistics, we directly derive the partition function of the bosonic and the fermionic elds in a d-dimensional Schwarzschild-Ads black hole and obtain a integral expression for the black hole's entropy. Then, via the improved brick-wall method, membrane model, we obtain the statistical entropy of the black hole and nd that we can choose a proper parameter in order to let the thickness of the lm tend to zero and have it approach the surface of the horizon. Consequently, the entropy of the black hole is proportional to the area of the horizon. In our result, we also take the spinning degeneracy of various particles into consideration. The stripped term and the approximation taken in the original brick-wall method no longer exist. In the whole process, the physics is clear and the calculation is simple. We oer a new simple and direct way of calculating the entropy of higher-dimensional black holes.