论文标题
特征态热化和重力平均
Eigenstate Thermalization and Disorder Averaging in Gravity
论文作者
论文摘要
天真地，黑洞信息悖论的分辨率似乎涉及量子重力理论的微观细节。但是，最近的工作认为，可以通过在重力路径积分中包括新颖的复制品instantons来恢复统一的页面曲线。此外，复制品Instantons似乎依赖于平均微观理论的障碍，而与单个基本的统一量子系统没有明确的联系。在这封信中，我们表明，平均疾病和复制词instants自然而然地从典型的微观状态建立的引力有效理论中出现。我们将复制品的Instantons与出现在本征态热化假设中的简单操作员的瞬间扩展相关联，描述了Feynman计算时刻的规则，并在蠕虫和欧几里得黑洞方面找到了对复制品Instantons的优雅微传统描述。
Naively, a resolution of the black hole information paradox appears to involve microscopic details of a theory of quantum gravity. However, recent work has argued that a unitary Page curve can be recovered by including novel replica instantons in the gravitational path integral. Moreover, replica instantons seem to rely on disorder averaging the microscopic theory, without a definite connection to a single, underlying unitary quantum system. In this letter, we show that disorder averaging and replica instantons emerge naturally from a gravitational effective theory built out of typical microscopic states. We relate replica instantons to a moment expansion of the simple operators appearing in the Eigenstate Thermalization Hypothesis, describe Feynman rules for computing the moments, and find an elegant microcanonical description of replica instantons in terms of wormholes and Euclidean black holes.
