A review of the 1/N expansion in random tensor models

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: A review of the 1/N expansion in random tensor models
• Verf.angabe: Razvan Gurau
• E-Jahr: 2012
• Jahr: 14 Sep 2012
• Umfang: 11 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2012
• Band/Heft Quelle: (2012), Artikel-ID 1209.3252, Seite 1-11
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 57Q99
• Sach-SW: High Energy Physics - Theory
• Sach-SW: Mathematical Physics
• K10plus-PPN: 1805162349

Abstract

Matrix models are a highly successful framework for the analytic study of random two dimensional surfaces with applications to quantum gravity in two dimensions, string theory, conformal field theory, statistical physics in random geometry, etc. Their success relies crucially on the so called 1/N expansion introduced by 't Hooft. In higher dimensions matrix models generalize to tensor models. In the absence of a viable 1/N expansion tensor models have for a long time been less successful in providing an analytically controlled theory of random higher dimensional topological spaces. This situation has drastically changed recently. Models for a generic complex tensor have been shown to admit a 1/N expansion dominated by graphs of spherical topology in arbitrary dimensions and to undergo a phase transition to a continuum theory.