The complete 1/N expansion of a SYK-like tensor model

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: The complete 1/N expansion of a SYK-like tensor model
• Verf.angabe: Razvan Gurau
• E-Jahr: 2017
• Jahr: 20 January 2017
• Fussnoten: Gesehen am 27.05.2022
• Titel Quelle: Enthalten in: Nuclear physics <Amsterdam> / B
• Ort Quelle: Amsterdam : North-Holland Publ. Co., 1967
• Jahr Quelle: 2017
• Band/Heft Quelle: 916(2017), Seite 386-401$z16
• ISSN Quelle: 1873-1562
• DOI: doi:10.1016/j.nuclphysb.2017.01.015
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1804450804

Abstract

A SYK-like model close to the colored tensor models has recently been proposed [1]. Building on results obtained in tensor models [2], we discuss the complete 1/N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over melonic graphs, and the leading order relevant four point functions are sums over dressed ladder diagrams. We then show that any order in the 1/N series of the two point function can be written solely in term of the leading order two and four point functions. The full 1/N expansion of arbitrary correlations can be obtained by similar methods.