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

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arxiv 1808.10314 v1 pith:ZBGKGEDH submitted 2018-08-30 math-ph hep-thmath.COmath.MP

Valentin Bonzom , Victor Nador , Adrian Tanasa This is my paper · ORCID
classification math-phhep-thmath.COmath.MP
keywords diagrammaticgraphslargemelonicmodelproofresultanalysis
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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.

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  1. Melonic Dominance in Subchromatic Sextic Tensor Models

    hep-th 2019-08 conditional novelty 7.0 of 10

    Sextic tensor models with O(N)^r symmetry and r<5 have exactly three maximally-single-trace interaction vertices, and each yields a large N limit dominated by (generalized) melonic diagrams.

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