Random tensor models in the large N limit

• Verfasst von: Bonzom, Valentin [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Rivasseau, Vincent [VerfasserIn]
• Titel: Random tensor models in the large N limit
• Titelzusatz: uncoloring the colored tensor models
• Verf.angabe: Valentin Bonzom, Razvan Gurau and Vincent Rivasseau
• E-Jahr: 2012
• Jahr: 26 April 2012
• Umfang: 12 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: Physical review / D
• Ort Quelle: [S.l.] : Soc., 1970
• Jahr Quelle: 2012
• Band/Heft Quelle: 85(2012), 8, Artikel-ID 084037, Seite 1-12
• ISSN Quelle: 1550-2368
• ISSN Quelle: 1089-4918
• DOI: doi:10.1103/PhysRevD.85.084037
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1805176978

Abstract

Tensor models generalize random matrix models in yielding a theory of dynamical triangulations in arbitrary dimensions. Colored tensor models have been shown to admit a 1/N expansion and a continuum limit accessible analytically. In this paper we prove that these results extend to the most general tensor model for a single generic, i.e. nonsymmetric, complex tensor. Colors appear in this setting as a canonical bookkeeping device and not as a fundamental feature. In the large N limit, we exhibit a set of Virasoro constraints satisfied by the free energy and an infinite family of multicritical behaviors with entropy exponents γm=1−1/m.