论文标题
地平线通过近地平线不稳定性的热力：路径积分方法
Thermality of horizon through near horizon instability: a path integral approach
论文作者
论文摘要
最近的调查表明，由于其在静态和固定的黑洞中的特殊运动，近地平线的汉密尔顿人实际上是$ \ sim xp $ anks。这本质上是不稳定的，并且有可能解释一些有趣的物理现象。从路径积分内核中，我们首先计算状态的密度。另外，遵循[物理学的想法。 Rev. D 85，025011（2012）]在这里，在地平线附近，我们通过路径积分方法计算了与其Schrodinger版本相对应的有效路径。后者的结果似乎在本质上很复杂，并带有通过地平线逃脱粒子概率的信息。从这两种方面，我们都确定了鹰温度的正确表达。此外，在这里，我们成功地将复杂的路径方法扩展到了Kerr Spacetime等更一般的黑洞。我们认为，如此复杂的路径是地平线提供的近地平线不稳定性的性质的结果，因此再次增强了这样一个事实，即可以通过上述局部不稳定来解释地平线的热化机理。
Recent investigations revealed that the near horizon Hamiltonian of a massless, chargeless outgoing particle, for its particular motion in static as well as stationary black holes, is effectively $\sim xp$ kind. This is unstable by nature and has the potential to explain a few interesting physical phenomena. From the path integral kernel, we first calculate the density of states. Also, following the idea of [Phys. Rev. D 85, 025011 (2012)] here, in the vicinity of the horizon, we calculate the effective path corresponding to its Schrodinger version of Hamiltonian through the path integral approach. The latter result appears to be complex in nature and carries the information of escaping the probability of the particle through the horizon. In both ways, we identify the correct expression of Hawking temperature. Moreover, here we successfully extend the complex path approach to a more general black hole like Kerr spacetime. We feel that such a complex path is an outcome of the nature of near horizon instability provided by the horizon and, therefore, once again bolstered the fact that the thermalization mechanism of the horizon may be explained through the aforesaid local instability.
