Critical behavior of colored tensor models in the large N limit
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...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
30 July 2011
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| In: |
Nuclear physics. B, Particle physics
Year: 2011, Volume: 853, Issue: 1, Pages: 174-195 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2011.07.022 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysb.2011.07.022 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0550321311004056 
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| Author Notes: | Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau |
| Summary: | 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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| Item Description: | Gesehen am 30.09.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2011.07.022 |