Diagrammatic proof of the large $N$ melonic dominance in the SYK model

Abstract

A crucial result on the celebrated Sachdev-Ye-Kitaev model is that its large $N$ limit is dominated by melonic graphs. In this letter we offer a rigorous, diagrammatic proof of that result by direct, combinatorial analysis of its Feynman graphs.

arXiv comment11 pages

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Cited by in corpus (6)

• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Combinatorial study of graphs arising from the Sachdev-Ye-Kitaev model
• Melonic Dominance in Subchromatic Sextic Tensor Models
• Spectrum of a Gross-Neveu Yukawa model with flavor disorder in $d=3$
• Diagrammatics of the quartic $O(N{)}^3$-invariant Sachdev-Ye-Kitaev-like tensor model
• Double scaling limit for the $O(N{)}^3$-invariant tensor model