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2016

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

Gurau, Razvan

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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.

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

Built on

A planar diagram theory for strong interactions
G. ’t Hooft · 1974
Earlier work this paper cites.
Gapless spin fluid ground state in a random, quantum Heisenberg magnet
S. Sachdev and J. Ye · 1993
Earlier work this paper cites.
Colored group field theory
R. Gurau · 2011
Earlier work this paper cites.
Critical behavior of colored tensor models in the large N N limit
V. Bonzom, R. Gurau, A. Riello, and V. Rivasseau · 2011
Earlier work this paper cites.

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