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arXiv · 1611.04032

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

Razvan Gurau
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Abstract

A SYK--like model close to the colored tensor models has recently been proposed \cite{Witten:2016iux}. Building on results obtained in tensor models \cite{GurSch}, 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.

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Razvan Gurau. 2017-01-20. The complete $1/N$ expansion of a SYK--like tensor model. https://doi.org/10.1016/j.nuclphysb.2017.01.015

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