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arXiv · 1810.09867

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

R. Pascalie·C. I. Pérez-Sánchez·A. Tanasa·R. Wulkenhaar
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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.

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R. Pascalie, C. I. Pérez-Sánchez, A. Tanasa, R. Wulkenhaar. 2018-10-23. On the large N limit of the Schwinger-Dyson equation of tensor field theory. https://doi.org/10.1063/1.5080306

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