On the large N limit of the Schwinger-Dyson equation of tensor field theory

Understand

We analyse in this paper the large N limit of the Schwinger-Dyson equations in a rank-3 tensor quantum field theory, which are derived with the help of Ward-Takahashi identities.

• In order to have a well-defined large N limit, appropriate scalings in powers of N for the various terms present in the action are explicitly found.
• A perturbative check of our results is done, up to second order in the coupling constant.