Quantum statistical entropy corresponding to cosmic horizon in five-dimensional spacetime

作     者：ZHAO Ren1,2 & ZHANG ShengLi1 1 Department of Applied Physics, Xi’an Jiaotong University, Xi’an 710049, China 2 Department of Physics, Shanxi Datong University, Datong 037009, China 

作者机构：Department of Applied Physics Xi’an Jiaotong University Xi’an China Department of Physics Shanxi Datong University Datong China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2008年第51卷第2期

页      面：140-146页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 

基　　金：the National Natural Science Foundation of China (Grant No. 10374075) the Natural Science Foundation of Shanxi Province, China (Grant No. 2006011012) 

主　　题：quantum statistical entropy generalized uncertainty relation high-dimensional spacetime 

摘      要：The generalized uncertainty relation is introduced to calculate the quantum statis-tical entropy corresponding to cosmic horizon. By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose field and Fermi field on the background of five-dimensional spacetime. In our calculation, we need not introduce cutoff. There is no divergent logarithmic term in the original brick-wall method. And it is obtained that the quantum statistical en-tropy corresponding to cosmic horizon is proportional to the area of the horizon. Further it is shown that the entropy corresponding to cosmic horizon is the entropy of quantum state on the surface of horizon. The black hole s entropy is the intrinsic property of the black hole. The entropy is a quantum effect. In our calculation, by using the quantum statistical method, we obtain the partition function of Bose field and Fermi field on the background of five-dimensional spacetime. We provide a way to study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.