The 1/N expansion of colored tensor models

Details The 1/N expansion of colored tensor models The 1/N expansion of colored tensor models

2010-11-11

arxiv.org/abs/1011.2726v2

Annales Henri Poincare 12:829-847,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

typos corrected, references updated

Scientific paper

10.1007/s00023-011-0101-8

In this paper we perform the 1/N expansion of the colored three dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with more and more complicated topologies suppressed by higher and higher powers of N. We compute the first orders of the expansion and prove that only graphs corresponding to three spheres S^3 contribute to the leading order in the large N limit.

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