Replica wormholes for an evaporating 2D black hole
Replica wormholes for an evaporating 2D black hole
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DOI：
10.1007/jhep04(2021)289
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发表时间：
2021-04-29
影响因子：
5.4
通讯作者：
Tajdini, Amirhossein
中科院分区：
文献类型：
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作者：
Goto, Kanato;Hartman, Thomas;Tajdini, Amirhossein
量子极值岛再现了蒸发黑洞的幺正佩奇曲线。这是通过在引力路径积分中包括复制虫洞而得出的，但是对于与霍金悖论最相关的瞬态蒸发黑洞，这些虫洞没有进行任何详细的分析。本文研究了Jackiw-Teitelboim引力中引力坍缩黑洞的复制虫洞，证实了它们导致了熵的岛规则。主要的技术挑战是，复制虫洞依赖于欧几里得路径积分，而蒸发黑洞的量子极值岛只存在于洛伦兹签名中。此外，施瓦兹模式的欧几里得方程是非定域的，因此不清楚如何连接到蒸发黑洞的定域洛伦兹动力学。我们解决这些问题与Schwinger-Keldysh技术，并显示如何减少到本地的“边界粒子”的描述在特殊情况下的非本地方程。
Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking's paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations for the Schwarzian mode are non-local, so it is unclear how to connect to the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local 'boundary particle' description in special cases.