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

Abstract

The D-colored version of tensor models has been shown to admit a large Nlimit 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 5 φ4-model (with propagator 1 p2) and their melonic approximation. We derive the master equations for two- and fourpoint correlation functions and discuss their solution.