Journal
ANNALES HENRI POINCARE
Volume 12, Issue 5, Pages 829-847Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00023-011-0101-8
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Funding
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
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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 increasingly 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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