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arXiv · 1411.7213

Correlation functions of just renormalizable tensorial group field theory: The melonic approximation

Dine Ousmane Samary·Carlos I. Pérez-Sánchez·Fabien Vignes-Tourneret·Raimar Wulkenhaar
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Abstract

The $D$-colored version of tensor models has been shown to admit a large $N$-limit expansion. The leading contributions result from so-called melonic graphs which are dual to the $D$-sphere. This is a note about the Schwinger-Dyson equations of the tensorial $\varphi^{4}_{5}$-model (with propagator $1/{\bf p}^{2}$) and their melonic approximation. We derive the master equations for two- and four-point correlation functions and discuss their solution.

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Dine Ousmane Samary, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret, Raimar Wulkenhaar. 2014-11-26. Correlation functions of just renormalizable tensorial group field theory: The melonic approximation. https://doi.org/10.1088/0264-9381/32/17/175012

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