An analysis of the intermediate field theory of $T^4$ tensor model

Abstract : In this paper we analyze the multi-matrix model arising from the intermediate field representation of the tensor model with all quartic melonic interactions. We derive the saddle point equation and the Schwinger-Dyson constraints. We then use them to describe the leading and next-to-leading eigenvalues distribution of the matrices.
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Viet Anh Nguyen, Stephane Dartois, Bertrand Eynard. An analysis of the intermediate field theory of $T^4$ tensor model. Journal of High Energy Physics, Springer Verlag (Germany), 2015, ⟨10.1007/JHEP01(2015)013 ⟩. ⟨cea-01277978⟩

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