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

  • V. Bonzom
  • V. Nador
  • A. TanasaEmail author


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.


Sachdev–Ye–Kitaev model Melonic graphs Tensor models 

Mathematics Subject Classification

81Q30 05C22 



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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.LIPN, UMR CNRS 7030, Institut GaliléeUniversité Paris 13VilletaneuseFrance
  2. 2.LaBRI, UMR CNRS 5800Université de BordeauxTalenceFrance
  3. 3.Horia Hulubei National Institute of Physics and Nuclear EngineeringMagureleRomania
  4. 4.Institut Universitaire de FranceParisFrance

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