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Article Dans Une Revue Nuclear Physics B Année : 2011

Critical behavior of colored tensor models in the large N limit

Résumé

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.

Dates et versions

hal-00594192 , version 1 (19-05-2011)

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Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau. Critical behavior of colored tensor models in the large N limit. Nuclear Physics B, 2011, 853, pp.174-195. ⟨10.1016/j.nuclphysb.2011.07.022⟩. ⟨hal-00594192⟩
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