Phase transition in tensor models

• Verfasst von: Delepouve, Thibault [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Phase transition in tensor models
• Verf.angabe: Thibault Delepouve and Razvan Gurau
• E-Jahr: 2015
• Jahr: June 25, 2015
• Umfang: 34 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2015
• Band/Heft Quelle: (2015), 6, Artikel-ID 178, Seite 1-34
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP06(2015)178
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Matrix Models
• Sach-SW: Models of Quantum Gravity
• K10plus-PPN: 1804930059

Abstract

Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a 1/N expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resummation of the entire leading order in 1/N (a resummation of the melonic family). We then prove that the critical regime in which the continuum limit in the sense of dynamical triangulations is reached is precisely a phase transition in the field theory sense for the fluctuation field.