广义不确定关系与整体单极黑洞Dirac场的熵

The generalized uncertainty relation and Dirac field entropy of black hole with an internal global monopole

将广义不确定关系引入新的态密度方程,采用WKB近似方法,对含整体单极黑洞Dirac场的熵进行了直接计算,所得黑洞熵与它的视界面积成正比,以此揭示了黑洞熵是其视界面处量子态的熵.与brick-wall模型方法不同,该结果不需要取任何截断.同时表明,用此方法不仅可以计算黑洞标量场的熵,而且可以计算Dirac场的熵.

The generalized uncertainty relation is considered in the new equation of state density. Using the WKB approximation, Dirac field entropy of the horizon of the black hole with an internal global monopole is calculated directly. The result shows that the black hole entropy is proportional to the horizon area, which brings to light the relationship between the black hole entropy and the entropy of quantum state near the event horizon. The difference from the brick-wall model is that the present result is convergent without any cutoff. It is indicated that this method can be used to calculate the entropy of the scale field of black hole, and it can be extended to calculate the entropy of Dirac field.