Quantum glasses, reparameterization invariance, Sachdev-Ye-Kitaev models

A brief survey of some random quantum models with infinite-range couplings is presented. Insights from such models have led to advances in the quantum theory of charged black holes in spatial dimensions $d \geq 3$, and to a universal theory of strange metals in correlated electron materials in $d=2$; these are also briefly reviewed.

本文对一些具有无穷范围耦合的随机量子模型进行了简要综述。从这些模型中获得的见解推动了空间维度\(d\geq3\)下带电黑洞量子理论的发展，以及\(d = 2\)时关联电子材料中奇异金属的普适理论的发展；本文也对这些内容进行了简要回顾。