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

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 ${\phi }_5^4$-model (with propagator $1/{\mathbf{p}}^2$) and their melonic approximation. We derive the master equations for two- and four-point correlation functions and discuss their solution.

20 pages

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