Critical behavior of colored tensor models in the large N limit

@article{Bonzom2011CriticalBO,
  title={Critical behavior of colored tensor models in the large N limit},
  author={V. Bonzom and R. Gurău and Aldo Riello and V. Rivasseau},
  journal={Nuclear Physics},
  year={2011},
  volume={853},
  pages={174-195}
}
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 triangula- tions 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… Expand

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