Correlation functions of \(\mathrm{U}(N)\)-tensor models and their Schwinger-Dyson equations (Q824263)

Summary: We analyze the correlation functions of \(\mathrm{U}(N)\)-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 \(D=3\) and \(D=4\). Throughout, we follow a non-perturbative approach. We propose the extension of this program to the Gurău-Witten model, a holographic tensor model based on the Sachdev-Ye-Kitaev model (SYK model).