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

Abstract

We study the out-of-time-ordered correlators (OTOCs) in the IP matrix model [1]. It was shown in [2] 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.