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

Abstract

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.

arXiv comment26 pages, many figures, v2: comments added

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• A Solvable Tensor Field Theory
• Graph calculus and the disconnected-boundary Schwinger-Dyson equations of quartic tensor field theories