基于量子隧穿的黑洞光谱研究
On black hole spectroscopy via quantum tunneling
摘要：
在最近的工作[ \emph{Quantum tunneling and black hole spectroscopy, Phys. Lett.} B686（2010）279，arXiv：0907.4271，Banerjee等人]中，证明了在隧穿机制中，黑洞视界的面积间距参数由$γ=4$给出。本文通过对黑洞辐射隧穿过程的细致分析，有趣地发现在隧穿机制中，最有资格成为普适区域能隙的候选者是$γ=8π$。首先，我们发展了Banerjee的处理和Kunstatter的猜想，通过量子隧穿重新审视黑洞光谱，并发现对于一个真正的隧穿过程，面积间距参数是由可能的值$γ\geq 4$。也就是说，先前的依赖于模型的区域间隔参数，即$γ=8π, 4\ln 3, 4$，在隧道机制中都是可能的。最后，一些讨论之后发现，在隧道机制，$γ=8π$是最合格的候选人的一个通用的区域间距参数。
英文摘要：
In recent work [\emph{Quantum tunneling and black hole spectroscopy, Phys. Lett.} B686 (2010) 279, arXiv:0907.4271, by Banerjee et al.], it has been shown, in the tunneling mechanism, the area spacing parameter of a black hole horizon is given by $γ=4$. In this paper, by carefully analyzing the tunneling process of the black hole radiation, we interestingly find that the most qualified candidate for a universal area gap in the tunneling mechanism is $γ=8π$. First, we develop the Banerjee's treatment and the Kunstatter's conjecture to revisit the black hole spectroscopy via quantum tunneling, and find for a real tunneling process, the area spacing parameter is given by the possible value $γ\geq 4$. That is, the previous model-dependent area spacing parameters, i.e. $γ=8π, 4\ln 3, 4$, are all possible in the tunneling mechanism. Finally, some discussions are followed to find, in the tunneling mechanism, $γ=8π$ is the most qualified candidate for a universal area spacing parameter.
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