Diagrammatic proof of the large $N$ melonic dominance in the SYK model
| Autor: | Adrian Tanasa, Victor Nador, Valentin Bonzom |
|---|---|
| Přispěvatelé: | Laboratoire d'Informatique de Paris-Nord (LIPN), Université Sorbonne Paris Cité (USPC)-Institut Galilée-Université Paris 13 (UP13)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Bordelais de Recherche en Informatique (LaBRI), Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)-Université Sciences et Technologies - Bordeaux 1-Université Bordeaux Segalen - Bordeaux 2, Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS)-École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
model: tensor Feynman graph [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences 01 natural sciences Combinatorial analysis symbols.namesake tensor models 0103 physical sciences FOS: Mathematics Mathematics - Combinatorics Feynman diagram Limit (mathematics) 0101 mathematics Mathematical Physics Mathematics Discrete mathematics melonic graphs condensed matter AdS/CFT correspondence [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 010102 general mathematics random two-point function Statistical and Nonlinear Physics Mathematical Physics (math-ph) Sachdev-Ye-Kitaev model Sachdev-Ye-Kitaev Diagrammatic reasoning High Energy Physics - Theory (hep-th) symbols Combinatorics (math.CO) 010307 mathematical physics expansion 1/N Sachdev–Ye–Kitaev model |
| Zdroj: | Lett.Math.Phys. Lett.Math.Phys., 2019, 109 (12), pp.2611-2624. ⟨10.1007/s11005-019-01194-8⟩ |
| DOI: | 10.1007/s11005-019-01194-8⟩ |
| Popis: | 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. 11 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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