论文标题
蒸发2D黑洞的复制虫洞
Replica wormholes for an evaporating 2D black hole
论文作者
论文摘要
量子极端岛屿重现了蒸发黑洞的统一页面曲线。这是通过在重力路径积分中包括复制虫孔来得出的，但是对于短暂的，蒸发的黑洞与霍金的悖论最相关的黑洞，尚未对这些虫洞进行任何详细分析。在本文中，我们研究了由Jackiw-teitelboim重力在重力崩溃中形成的黑洞的复制虫洞，并确认它们导致了熵的岛屿统治。主要的技术挑战是，复制虫洞依靠欧几里得路径的整体不可或缺，而蒸发黑洞的量子极端岛仅存在于洛伦兹的签名中。此外，欧几里得方程是非本地的，因此尚不清楚如何弥合欧几里得路径积分之间的间隙和局部的洛伦兹（Lorentzian）动力学的蒸发黑洞。我们使用Schwinger-Keldysh技术解决了这些问题，并在特殊情况下显示了非本地方程如何减少到局部“边界粒子”描述。
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 are non-local, so it is unclear how to bridge the gap between the Euclidean path integral and 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.
