Critical behavior of colored tensor models in the large N limit

• Verfasst von: Bonzom, Valentin [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Riello, Aldo [VerfasserIn]
• Verfasst von: Rivasseau, Vincent [VerfasserIn]
• Titel: Critical behavior of colored tensor models in the large N limit
• Verf.angabe: Valentin Bonzom, Razvan Gurau, Aldo Riello, Vincent Rivasseau
• E-Jahr: 2011
• Jahr: 30 July 2011
• Umfang: 22 S.
• Fussnoten: Gesehen am 30.09.2022
• Titel Quelle: Enthalten in: Nuclear physics <Amsterdam> / B
• Ort Quelle: Amsterdam : North-Holland Publ. Co., 1967
• Jahr Quelle: 2011
• Band/Heft Quelle: 853(2011), 1, Seite 174-195
• ISSN Quelle: 1873-1562
• DOI: doi:10.1016/j.nuclphysb.2011.07.022
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: expansion
• Sach-SW: Random tensor models
• K10plus-PPN: 1805303759

Abstract

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.