标题： 世界线量子场论中的隧穿振幅和霍金辐射 显示英文标题

标题： Tunnelling amplitudes and Hawking radiation from worldline QFT

摘要： 我们比较在坍缩背景中的霍金辐射与电场中的施温格对产生。 这种比较是由施温格情况下存在类似视界的事实所驱动的，该视界对经典粒子的时空具有因果分割作用，但量子场可以通过它进行隧穿。 隧穿过程的振幅编码在适当背景耦合波方程解的渐近行为中。 我们使用世界线方法在引力和QED中构造这些解，其中隧穿和粒子产生表现为实时间路径积分的复数鞍点。 对于施温格效应，这些鞍点对应于复数世界线，而对于霍金辐射，相应的世界线是实数的，但在超出某个坐标块后看起来是复数的。 显示英文摘要

摘要： We compare Hawking radiation in a collapse background with Schwinger pair creation in an electric field. The comparison is driven by the presence of an analogue horizon in the Schwinger case, which causally divides spacetime for classical particles, but through which quantum fields can tunnel. Amplitudes for tunnelling processes are encoded in the asymptotic behaviour of solutions to the appropriate background-coupled wave equation. We construct these solutions, in both gravity and QED, using the worldline approach, where tunnelling and particle creation manifest as complex saddle points of a real-time path integral. For the Schwinger effect, these saddles correspond to complex worldlines, while for Hawking radiation, the corresponding worldlines are real, but appear complex when extended beyond a certain coordinate patch.