Phase transition in dually weighted colored tensor models

• Verfasst von: Benedetti, Dario [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Phase transition in dually weighted colored tensor models
• Verf.angabe: Dario Benedetti, Razvan Gurau
• Jahr: 2012
• Umfang: 18 S.
• Fussnoten: Available online 20 October 2011 ; Gesehen am 30.09.2022
• Titel Quelle: Enthalten in: Nuclear physics <Amsterdam> / B
• Ort Quelle: Amsterdam : North-Holland Publ. Co., 1967
• Jahr Quelle: 2012
• Band/Heft Quelle: 855(2012), 2, Seite 420-437
• ISSN Quelle: 1873-1562
• DOI: doi:10.1016/j.nuclphysb.2011.10.015
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: Critical behavior
• Sach-SW: Dynamical triangulation
• Sach-SW: expansion of random tensor models
• K10plus-PPN: 1805303414

Abstract

Tensor models are a generalization of matrix models (their graphs being dual to higher-dimensional triangulations) and, in their colored version, admit a 1/N expansion and a continuum limit. We introduce a new class of colored tensor models with a modified propagator which allows us to associate weight factors to the faces of the graphs, i.e. to the bones (or hinges) of the triangulation, where curvature is concentrated. They correspond to dynamical triangulations in three and higher dimensions with generalized amplitudes. We solve analytically the leading order in 1/N of the most general model in arbitrary dimensions. We then show that a particular model, corresponding to dynamical triangulations with a non-trivial measure factor, undergoes a third-order phase transition in the continuum characterized by a jump in the susceptibility exponent.