Diagrammatic proof of the large \(N\) melonic dominance in the SYK model

DOI10.1007/s11005-019-01194-8zbMath1428.81115arXiv1808.10314OpenAlexW3098131651MaRDI QIDQ2011188

V. Nador, Adrian Tanasa, Valentin Bonzom

Publication date: 28 November 2019

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10314

zbMATH Keywords

tensor modelsSachdev-Ye-Kitaev modelmelonic graphs

Mathematics Subject Classification ID

Model quantum field theories (81T10) Feynman diagrams (81T18) Continuum limits in quantum field theory (81T27)

Related Items (6)

Double scaling limit for the O(N)³-invariant tensor model ⋮ SYK-like tensor quantum mechanics with $\operatorname{Sp}(N)$ symmetry ⋮ Motives of melonic graphs ⋮ Combinatorial study of graphs arising from the Sachdev-Ye-Kitaev model ⋮ Diagrammatics of the quartic O(N)3-invariant Sachdev-Ye-Kitaev-like tensor model ⋮ On the large N limit of Schwinger-Dyson equations of a rank-3 tensor field theory

Cites Work

• The multi-orientable random tensor model, a review
• The complete 1/\(N\) expansion of a SYK-like tensor model
• Critical behavior of colored tensor models in the large \(N\) limit
• Large \(N\) limits in tensor models: towards more universality classes of colored triangulations in dimension \(d\geq 2\)
• The spectrum in the Sachdev-Ye-Kitaev model
• The \(1/N\) expansion of tensor models with two symmetric tensors
• 2PI effective action for the SYK model and tensor field theories
• Large \(N\) limit of irreducible tensor models: \(\mathrm{O}(N)\) rank-3 tensors with mixed permutation symmetry
• All point correlation functions in SYK
• Tensorial Gross-Neveu models
• The \(1 / N\) expansion of the symmetric traceless and the antisymmetric tensor models in rank three
• \(O(N)\) random tensor models
• The \(1/N\) expansion of multi-orientable random tensor models
• Random Tensors
• Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders
• An SYK-like model without disorder

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