The double scaling limit of random tensor models

• Verfasst von: Bonzom, Valentin [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Verfasst von: Ryan, James P. [VerfasserIn]
• Verfasst von: Tanasa, Adrian [VerfasserIn]
• Titel: The double scaling limit of random tensor models
• Verf.angabe: Valentin Bonzom, Razvan Gurau, James P. Ryan and Adrian Tanasa
• E-Jahr: 2014
• Jahr: September 8, 2014
• Umfang: 49 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: Journal of high energy physics
• Ort Quelle: Berlin : Springer, 1997
• Jahr Quelle: 2014
• Band/Heft Quelle: (2014), 9, Artikel-ID 51, Seite 1-19
• ISSN Quelle: 1029-8479
• DOI: doi:10.1007/JHEP09(2014)051
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 1/N Expansion
• Sach-SW: Matrix Models
• K10plus-PPN: 1805090569

Abstract

Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions D ≥ 3. The free energies of some models have been recently shown to admit a double scaling limit, i.e. large tensor size N while tuning to criticality, which turns out to be summable in dimension less than six. This double scaling limit is here extended to arbitrary models. This is done by means of the Schwinger-Dyson equations, which generalize the loop equations of random matrix models, coupled to a double scale analysis of the cumulants.