The 1/N expansion of tensor models beyond perturbation theory

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: The 1/N expansion of tensor models beyond perturbation theory
• Verf.angabe: Razvan Gurau
• E-Jahr: 2014
• Jahr: 23 February 2014
• Umfang: 47 S.
• Fussnoten: Gesehen am 05.10.2022
• Titel Quelle: Enthalten in: Communications in mathematical physics
• Ort Quelle: Berlin : Springer, 1965
• Jahr Quelle: 2014
• Band/Heft Quelle: 330(2014), 3, Seite 973-1019
• ISSN Quelle: 1432-0916
• DOI: doi:10.1007/s00220-014-1907-2
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: External Edge
• Sach-SW: Marked Vertex
• Sach-SW: Matrix Model
• Sach-SW: Tensor Model
• Sach-SW: White Vertex
• K10plus-PPN: 1805158465

Abstract

We analyze in full mathematical rigor the most general quartically perturbed invariant probability measure for a random tensor. Using a version of the Loop Vertex Expansion (which we call the mixed expansion) we show that the cumulants write as explicit series in 1/N plus bounded rest terms. The mixed expansion recasts the problem of determining the subleading corrections in 1/N into a simple combinatorial problem of counting trees decorated by a finite number of loop edges.