Symmetry breaking in tensor models

• Verfasst von: Benedetti, Dario [VerfasserIn]
• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Symmetry breaking in tensor models
• Verf.angabe: Mario Benedetti, Razvan Gurau
• E-Jahr: 2015
• Jahr: 23 November 2015
• Umfang: 13 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: Physical review / D
• Ort Quelle: [S.l.] : Soc., 1970
• Jahr Quelle: 2015
• Band/Heft Quelle: 92(2015), 10, Artikel-ID 104041, Seite 1-13
• ISSN Quelle: 1550-2368
• ISSN Quelle: 1089-4918
• DOI: doi:10.1103/PhysRevD.92.104041
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1804800422

Abstract

In this paper we analyze a quartic tensor model with one interaction for a tensor of arbitrary rank. This model has a critical point where a continuous limit of infinitely refined random geometries is reached. We show that the critical point corresponds to a phase transition in the tensor model associated to a breaking of the unitary symmetry. We analyze the model in the two phases and prove that, in a double scaling limit, the symmetric phase corresponds to a theory of infinitely refined random surfaces, while the broken phase corresponds to a theory of infinitely refined random nodal surfaces. At leading order in the double scaling limit planar surfaces dominate in the symmetric phase, and planar nodal surfaces dominate in the broken phase.