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2014

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

Nguyen, Viet Anh, Dartois, Stephane, Eynard, Bertrand

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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.

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

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S. Dartois, “A Givental-like Formula and Bilinear Identities for Tensor Models,” To appear soon
Cited in the paper.

Then

V. Bonzom, R. Gurau and V. Rivasseau, “Random tensor models in the large N limit: Uncoloring the colored tensor models,” Phys. Rev. D 85
Original
2012
Later among the works it cites.
S. Dartois, R. Gurau and V. Rivasseau, “Double Scaling in Tensor Models with a Quartic Interaction,” JHEP 1309
Original
2013
Later among the works it cites.
R. Gurau and G. Schaeffer, ”Regular colored graphs of positive degree,” 2013, arXiv:1307.5279
Original
2013
Later among the works it cites.
V. Bonzom, R. Gurau, and M. Smerlak, “Universality in p-spin glasses with correlated disorder”, J. Stat. Mech. (2013) L02003, arXiv:1206.5539
Original
2013
Later among the works it cites.

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