论文标题

SYK样模型的亚ads全息图的障碍

An obstacle to sub-AdS holography for SYK-like models

论文作者

Zhang, Pengfei, Gu, Yingfei, Kitaev, Alexei

论文摘要

我们认为,类似于SYK的模型的假定重力二维图中的“严格”效应与分支时间有关,分支时间是一种按延迟的内核定义的动力系数。假设前图是梯子较薄的梯子,则建立了分支时间上的绑定。因此,此类模型不太可能用于亚ads全息图。在弱耦合极限中,我们使用两个不同的近似值在分支时间,Lyapunov指数和准粒子寿命之间得出了一个关系。

We argue that "stringy" effects in a putative gravity-dual picture for SYK-like models are related to the branching time, a kinetic coefficient defined in terms of the retarded kernel. A bound on the branching time is established assuming that the leading diagrams are ladders with thin rungs. Thus, such models are unlikely candidates for sub-AdS holography. In the weak coupling limit, we derive a relation between the branching time, the Lyapunov exponent, and the quasiparticle lifetime using two different approximations.

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