vix.ing · top · new · best · stats · spec

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

2016/11/30 by Razvan Gurau
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/j.nuclphysb.2017.01.015

final version

arxiv created 2017/01/20 · arxiv updated 2017/03/08

Abstract

A SYK--like model close to the colored tensor models has recently been proposed \citeWitten:2016iux. Building on results obtained in tensor models \citeGurSch, 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.

Cited by