The 1/N expansion of colored tensor models in arbitrary dimension

By R. Gurau, Vincent Rivasseau. 2011

259 citations recorded by the source corpus.

In this paper we extend the 1/N expansion introduced in Gurau R., Ann. Henri Poincaré, 12 (2011) 829, to group field theories in arbitrary dimension and prove that only graphs corresponding to spheres SD contribute to the leading order in the large-N limit.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/045c990c2de7797709e335a613226d68041a5f83

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In Mathematical Physics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

O(N) Random Tensor Models (2015, unknown): “[4] Razvan Gurau and Vincent Rivasseau.”
Universality for Random Tensors (2011, background): “We define the jackets [20,23,24] of the D + 1-colored graph G.”
The Complete 1/N Expansion of Colored Tensor Models in Arbitrary Dimension (2011, background): “The full 1/N expansion of CGFTs in D =3 dimensions has been performed [1], and subsequently the dominance at leading order of the spherical topology has been established in arbitrary dimensions [ 2 ].”
A Renormalizable 4-Dimensional Tensor Field Theory (2011, background): “There are 12 such jackets in dimension 4 [39].”
Random tensor models in the large N limit: Uncoloring the colored tensor models (2012, background): “Leading order graphs triangulate the D-dimensional sphere in any dimension [38, 39].”
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].”