计算黑洞热力学量的砖墙方法的修正
Revision of the brick wall method for calculating the black hole thermodynamic quantities
摘要：
在“砖墙模型”的框架下，发展了一种计算标量场对黑洞热力学量贡献的新方法。在Rindler空间中的（横）动量和频率之间的关系被确定为高精度的数值计算和精度优于10%的解析计算，并与Minkowski空间中的相应量进行了比较。与早期的结果相矛盾的是，黑洞的热力学性质被证明是低温系统的热力学性质。详细分析了由此产生的配分函数和熵的两个数量级的差异。在最后一部分中，我们对de Sitter空间中的标量场进行了类似的研究，从而证实了我们的方法也适用于球对称空间的重要情况。
英文摘要：
Within the framework of the "brick wall model", a novel method is developed to compute the contributions of a scalar field to the thermodynamic quantities of black holes. The relations between (transverse) momenta and frequencies in Rindler space are determined numerically with high accuracy and analytically with an accuracy of better than 10 % and are compared with the corresponding quantities in Minkowski space. In conflict with earlier results, the thermodynamic properties of black holes turn out to be those of a low temperature system. The resulting discrepancy for partition function and entropy by two orders of magnitude is analyzed in detail. In the final part we carry out the analogous studies for scalar fields in de Sitter space and thereby confirm that our method applies also to the important case of spherically symmetric spaces.
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