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Article Dans Une Revue Classical and Quantum Gravity Année : 2015

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

Résumé

The $(D+1)$-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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Dates et versions

hal-01102600 , version 1 (15-02-2019)

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Dine Ousmane Samary, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret, Raimar Wulkenhaar. Correlation functions of just renormalizable tensorial group field theory: The melonic approximation. Classical and Quantum Gravity, 2015, 32 (17), pp.175012. ⟨10.1088/0264-9381/32/17/175012⟩. ⟨hal-01102600⟩
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