The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension

By R. Gurau. 2011

313 citations recorded by the source corpus.

In this paper we generalize the results of Gurau (arXiv:1011. 2726 [gr-qc], 2011), Gurau and Rivasseau (arXiv:1101.4182 [gr-qc], 2011) and derive the full 1/N expansion of colored tensor models in arbitrary dimensions. We detail the expansion for the independent identically distributed model and the topological Boulatov Ooguri model.

Subfields: Applied Mathematics, Computational Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cfe03ce4937aead9a158df7245297429b847a34f

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In Applied Mathematics

In Computational Mathematics

In Statistical and Nonlinear Physics

Citations in the corpus

Universality for Random Tensors (2011, background): “We define the jackets [20,23,24] of the D + 1-colored graph G.”
O(N) Random Tensor Models (2015, methodology): “The weight N 3/2 in front of the action is the natural one if one wants the second bubble of Figure 1 to contribute at leading order (assuming that ρ = 0 for this bubble), as already observed in colored [5] and MO [18] models.”
Random tensor models in the large N limit: Uncoloring the colored tensor models (2012, background): “The proof of this lemma can be found in [40].”
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions (2012, background): “The second key result is the TGFT analogue of the 1/N expansion of matrix models identified in [73–75].”
A Renormalizable 4-Dimensional Tensor Field Theory (2011, background): “A new class of colored models [37] provided at last tensor theories and group field theories with their missing analytic tool, namely the 1/N expansion [38, 39, 40].”