Correlation functions of U(N)-tensor models and their Schwinger-Dyson equations

Pascalie, Romain; Pérez-Sánchez, Carlos Ignacio; Wulkenhaar, Raimar

Abstract

We analyze the correlation functions of U(N)-tensor models (or complex tensor models) and use the Ward-Takahashi identity in order to derive the full tower of exact, analytic Schwinger-Dyson equations. We write them explicitly for ranks D=3 andD=4 . Throughout, we follow a non-perturbative approach. We propose the extension of this program to the Gurau-Witten model, a holographic tensor model based on the Sachdev-Ye-Kitaev model (SYK model).