标题： 从二维模型中能否得到四维量子黑洞物理？ 显示英文标题

标题： 4D quantum black hole physics from 2D models?

摘要： 考虑施瓦西时空中的最小耦合4维标量场。将其降维到2维会得到一个众所周知的由 anomalies 诱导的有效作用量，我们在此以局部形式引入辅助场来研究它。为了选择适当的量子态（Boulware、Unruh 和 Israel-Hartle-Hawking），对这些场施加边界条件。然后计算应力张量，并将其与预期的4维形式进行比较，结果并不成功。我们还详细讨论了最近出现在文献中关于同一主题的一个有争议的结果。 显示英文摘要

摘要： Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary fields. Boundary conditions are imposed on them in order to select the appropriate quantum states (Boulware, Unruh annd Israel-Hartle-Hawking). The stress tensor is then calculated and its comparison with the expected 4D form turns out to be unsuccessful. We also critically discuss in some detail a recent controversial result appeared in the literature on the same topic.