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2015

The double scaling limit of the multi-orientable tensor model

Gurau, Razvan, Tanasa, Adrian, Youmans, Donald R.

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In this paper we study the double scaling limit of the multi-orientable tensor model.

We prove that, contrary to the case of matrix models but similarly to the case of invariant tensor models, the double scaling series are convergent.
We resum the double scaling series of the two point function and of the leading singular part of the four point function.
We discuss the behavior of the leading singular part of arbitrary correlation functions.

The double scaling limit of the multi-orientable tensor model · Around

Built on

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F. David, “Simplicial quantum gravity and random lattices,” arXiv:hep-th/9303127 [hep-th]
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S. Dartois, V. Rivasseau, and A. Tanasa, “The 1/N expansion of multi-orientable random tensor models,” arXiv:1301.1535 [hep-th]
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E. Fusy and A. Tanasa, “Asymptotic expansion of the multi-orientable random tensor model,” arXiv:1408.5725 [math.CO]
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Then

R. Gurau, “The complete 1/N expansion of colored tensor models in arbitrary dimension,” Annales Henri Poincare
Original
2012
Later among the works it cites.
V. Bonzom, R. Gurau, and V. Rivasseau, “Random tensor models in the large N limit: Uncoloring the colored tensor models,” Phys. Rev
Original
2012
Later among the works it cites.
A. Tanasa, “Multi-orientable Group Field Theory,” J.Phys
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
Original
2013
Later among the works it cites.
V. Bonzom, R. Gurau, J. P. Ryan, and A. Tanasa, “The double scaling limit of random tensor models,” JHEP

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