Correlation functions of -tensor models and their Schwinger–Dyson equations

  • Romain Pascalie

    Westfälische Wilhelms-Universität Münster, Germany
  • Carlos I. Pérez-Sánchez

    Westfälische Wilhelms-Universität Münster, Germany
  • Raimar Wulkenhaar

    Westfälische Wilhelms-Universität Münster, Germany
Correlation functions of $U(N)$-tensor models and their Schwinger–Dyson equations cover

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Abstract

We analyze the correlation functions of -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 and . 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).

Cite this article

Romain Pascalie, Carlos I. Pérez-Sánchez, Raimar Wulkenhaar, Correlation functions of -tensor models and their Schwinger–Dyson equations. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 8 (2021), no. 3, pp. 377–458

DOI 10.4171/AIHPD/107