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On the largeNlimit of Schwinger-Dyson equations of a rank-3 tensor field theory

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We analyze 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… Click to show full abstract

We analyze 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.We analyze 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.

Keywords: dyson equations; rank tensor; field theory; equations rank; schwinger dyson

Journal Title: Journal of Mathematical Physics
Year Published: 2019

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