论文标题
确切的WKB分析和iNRUH效应和鹰辐射的Stokes现象
The Exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation
论文作者
论文摘要
量子理论的物理可观察物可以通过扰动理论来描述，这通常由功率序列给出。这种差异与非扰动现象的存在有关，在这种情况下，复兴使我们能够研究这种联系。将此思想应用于WKB扩展，确切的WKB分析与非扰动现象有明确的联系。在本文中，我们将确切的WKB分析应用于Inruh效应和鹰辐射。我们在本文中发现的机制类似于恒定电场的schwinger效应，该恒定电场是静态的，但stokes现象出现在时间部分中。将其与声音黑洞进行比较，我们的计算显示它们之间存在明显的差异。然后，我们简要说明如何将量子反应包括在确切的WKB形式主义中。
The physical observables of quantum theory can be described by perturbation theory, which is often given by diverging power series. This divergence is connected to the existence of non-perturbative phenomena, where resurgence allows us to study this connection. Applying this idea to the WKB expansion, the exact WKB analysis gives a clear connection to non-perturbative phenomena. In this paper, we apply the exact WKB analysis to the Unruh effect and Hawking radiation. The mechanism we found in this paper is similar to the Schwinger effect of a constant electric field, where the background is static but the Stokes phenomenon appears in the temporal part. Comparing this with a sonic black hole, our calculations show a clear discrepancy between them. Then, we briefly explain how quantum backreactions can be included in the exact WKB formalism.
