Journal
NUCLEAR PHYSICS B
Volume 853, Issue 1, Pages 174-195Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysb.2011.07.022
Keywords
Random tensor models; 1/N expansion
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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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Colored tensor models have been recently shown to admit a large N expansion, whose leading order encodes a sum over a class of colored triangulations of the D-sphere. The present paper investigates in details this leading order. We show that the relevant triangulations proliferate like a species of colored trees. The leading order is therefore summable and exhibits a critical behavior, independent of the dimension. A continuum limit is reached by tuning the coupling constant to its critical value while inserting an infinite number of pairs of D-simplices glued together in a specific way. We argue that the dominant triangulations are branched polymers. (C) 2011 Elsevier B.V. All rights reserved.
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