The 1/N expansion of tensor models beyond perturbation theory

We analyze in full mathematical rigor the most general quartically perturbed invariant probability measure for a random tensor. Using a version of the Loop Vertex Expansion (which we call the mixed expansion) we show that the cumulants write as explicit series in 1/N plus bounded rest terms. The mix...

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Bibliographic Details
Main Author: Gurǎu, Rǎzvan (Author)
Format: Article (Journal)
Language:English
Published: 23 February 2014
In: Communications in mathematical physics
Year: 2014, Volume: 330, Issue: 3, Pages: 973-1019
ISSN:1432-0916
DOI:10.1007/s00220-014-1907-2
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-014-1907-2
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Author Notes:Razvan Gurau
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