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

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 $1/p^2$) and their melonic approximation. We derive the master equations for two- and four-point correlation functions and discuss their solution. (paper)