标题： 时间反序关联函数在IP矩阵模型中 显示英文标题

标题： Out-of-time-ordered correlators in the IP matrix model

摘要： 我们研究IP矩阵模型中的时间反序关联函数(OTOCs)。在arXiv:1602.06422中显示，当伴随场无质量时，OTOCs不会增长。我们将OTOCs的分析推广到伴随场的一般非零质量$m > 0$，其中我们给出了一种新的时间解析延拓方案，使得我们可以使用滞后格林函数数值计算OTOCs。尽管两点函数、谱密度和克里洛夫复杂度的行为会根据伴随场是否无质量而发生剧烈变化，但在我们研究的参数范围内，我们没有看到伴随场有质量情况下的OTOCs指数增长。最后，我们讨论了该模型与SYK模型的比较以及对该模型可能的修改。 显示英文摘要

摘要： We study the out-of-time-ordered correlators (OTOCs) in the IP matrix model. It was shown in arXiv:1602.06422 that OTOCs do not grow when the adjoint is massless. We generalize the analysis of OTOCs to general nonzero masses $m > 0$ for the adjoint, where we give a new prescription for analytic continuation in time such that we can evaluate OTOCs numerically using the retarded Green function. Despite the fact that the behaviors of the two-point functions, spectral density, and the Krylov complexity change drastically depending on whether the adjoint is massless or not, in the parameter ranges we study, we do not see the exponential growth of OTOCs for the massive adjoint cases. We end with a discussion of the comparison of this model with the SYK model and possible modification of the model.