We first revisit Hartle and Hawking's path integral derivation of Hawking radiation. In the first point of view, we interpret that a particle-antiparticle pair is created and the negative energy antiparticle falls into the black hole. On the other point of view, a particle inside the horizon, or beyond the Einstein-Rosen bridge, tunnels to outside the horizon, where this computation requires the analytic continuation of the time. These two faces of the Hawking radiation process can be extended to not only particles but also fields. As a concrete example, we study the thin-shell tunneling process; by introducing the antishell as a negative tension shell, we can give the consistent interpretation for two pictures, where one is a tunneling from inside to outside the horizon using instantons, while the other is a shell-antishell pair-creation. This shows that the Euclidean path integral indeed carries vast physical implications not only for perturbative, but also for non-perturbative processes.

中文翻译：

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霍金辐射和薄壳发射的两个面：对创建与隧道效应

我们首先回顾哈特尔和霍金对霍金辐射的路径积分推导。第一种观点，我们解释为产生了粒子-反粒子对，负能量的反粒子落入了黑洞。另一方面，地平线内或爱因斯坦-罗森桥之外的粒子隧道到地平线外，在那里这个计算需要时间的解析延续。霍金辐射过程的这两个面不仅可以扩展到粒子，还可以扩展到场。作为一个具体的例子，我们研究了薄壳隧穿过程；通过引入反壳作为负张力壳，我们可以对两张图片给出一致的解释，其中一张是使用瞬子从视界内到外的隧道，而另一张是壳-反壳对创造。