论文标题
带电的特征态热化，欧几里得虫洞和量子重力的全局对称性
Charged Eigenstate Thermalization, Euclidean Wormholes and Global Symmetries in Quantum Gravity
论文作者
论文摘要
我们将本征状热假说推广到具有全球对称性的系统。我们提出了两个版本，一种具有微观电荷保护，另一种具有指数抑制的违规行为。他们同意简单运算符的相关功能，但在有限温度下带电的单点函数的方差有所不同。然后，我们将这些想法应用于全息图中，并通过全球对称性进行引力低能的有效理论。我们表明，欧几里得虫洞预测带电的单点函数的非零方差，这与微观电荷保护不兼容。这意味着必须通过非扰动效应对量子重力中的整体对称性进行测量或明确打破。
We generalize the eigenstate thermalization hypothesis to systems with global symmetries. We present two versions, one with microscopic charge conservation and one with exponentially suppressed violations. They agree for correlation functions of simple operators, but differ in the variance of charged one-point functions at finite temperature. We then apply these ideas to holography and to gravitational low-energy effective theories with a global symmetry. We show that Euclidean wormholes predict a non-zero variance for charged one-point functions, which is incompatible with microscopic charge conservation. This implies that global symmetries in quantum gravity must either be gauged or explicitly broken by non-perturbative effects.
