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

DOI10.1016/J.NUCLPHYSB.2017.01.015zbMATH Open1356.81180arXiv1611.04032OpenAlexW2563669235MaRDI QIDQ512717

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Publication date: 27 February 2017

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1611.04032

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