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

Understand

We analyse the correlation functions of $\mathrm{U}(N)$-tensor models (or complex tensor models), which turn out to be classified by boundary graphs, and use the Ward-Takahashi identity and the graph calculus developed in [Commun.

• Math.
• Phys.
• (2018) 358: 589] in order to derive the complete tower of exact, analytic Schwinger-Dyson equations for correlation functions with connected boundary graphs.