Geodesic
Correlation functions of U(N)-tensor models and their Schwinger–Dyson equations
Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 3, pp. 377-458.

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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 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).

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Publié le :
DOI : 10.4171/aihpd/107
Classification : 81-XX, 05-XX
Keywords: Quantum field theory, tensor models, tensor field theory, Schwinger–Dyson equations, quantum gravity, combinatorics 
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     title = {Correlation functions of $U(N)$-tensor models and their {Schwinger{\textendash}Dyson} equations},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
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Pascalie, Romain; Pérez-Sánchez, Carlos I.; Wulkenhaar, Raimar. Correlation functions of $U(N)$-tensor models and their Schwinger–Dyson equations. Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 3, pp. 377-458. doi : 10.4171/aihpd/107. http://geodesic.mathdoc.fr/articles/10.4171/aihpd/107/

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