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Article Dans Une Revue Nucl.Phys.B Année : 2017

The complete $1/N$ expansion of a SYK–like tensor model

Résumé

A SYK–like model close to the colored tensor models has recently been proposed [1] . Building on results obtained in tensor models [2] , we discuss the complete 1/N expansion of the model. We detail the two and four point functions at leading order. The leading order two point function is a sum over melonic graphs, and the leading order relevant four point functions are sums over dressed ladder diagrams. We then show that any order in the 1/N series of the two point function can be written solely in term of the leading order two and four point functions. The full 1/N expansion of arbitrary correlations can be obtained by similar methods.

Dates et versions

hal-01554419 , version 1 (03-07-2017)

Identifiants

Citer

Razvan Gurau. The complete $1/N$ expansion of a SYK–like tensor model. Nucl.Phys.B, 2017, 916, pp.386-401. ⟨10.1016/j.nuclphysb.2017.01.015⟩. ⟨hal-01554419⟩
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