The 1/N expansion of colored tensor models
General Relativity and Quantum Cosmology
2011-05-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1011.2726,
title = {The 1/N expansion of colored tensor models},
author = {Razvan Gurau},
journal= {arXiv preprint arXiv:1011.2726},
year = {2011}
}
Comments
typos corrected, references updated