Critical behavior of colored tensor models in the large N limit

Details Critical behavior of colored tensor models in the large N limit Critical behavior of colored tensor models in the large N limit

2011-05-16

arxiv.org/abs/1105.3122v1

Nucl. Phys. B853 (2011) 174-195

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/j.nuclphysb.2011.07.022

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.

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