Double scaling limit in arbitrary dimensions

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Double scaling limit in arbitrary dimensions
• Titelzusatz: a toy model
• Verf.angabe: Razvan Gurau
• E-Jahr: 2011
• Jahr: 27 December 2011
• Umfang: 11 S.
• Fussnoten: Gesehen am 30.09.2022
• Titel Quelle: Enthalten in: Physical review / D
• Ort Quelle: [S.l.] : Soc., 1970
• Jahr Quelle: 2011
• Band/Heft Quelle: 84(2011), 12, Artikel-ID 124051, Seite 1-11
• ISSN Quelle: 1550-2368
• ISSN Quelle: 1089-4918
• DOI: doi:10.1103/PhysRevD.84.124051
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1805302051

Abstract

Colored tensor models generalize matrix models in arbitrary dimensions, yielding a statistical theory of random higher-dimensional topological spaces. They admit a 1/N expansion dominated by graphs of spherical topology. The simplest tensor model one can consider maps onto a rectangular matrix model with skewed scalings. We analyze this simplest toy model and show that it exhibits a family of multicritical points and a novel double scaling limit. We show in D=3 dimensions that only graphs representing spheres contribute in the double scaling limit and argue that similar results hold for any dimension.