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

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 m...

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1. Verfasser: Gurǎu, Rǎzvan (Verfasst von)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 20 January 2017
In: Nuclear physics. B, Particle physics
Year: 2017, Jahrgang: 916, Pages: 386-401$z16
ISSN:1873-1562
DOI:10.1016/j.nuclphysb.2017.01.015
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysb.2017.01.015
Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0550321317300299
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Verfasserangaben:Razvan Gurau
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Zusammenfassung: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.
Beschreibung:Gesehen am 27.05.2022
Beschreibung:Online Resource
ISSN:1873-1562
DOI:10.1016/j.nuclphysb.2017.01.015