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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1. Verfasser: Gurǎu, Rǎzvan (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 23 February 2014
In: Communications in mathematical physics
Year: 2014, Jahrgang: 330, Heft: 3, Pages: 973-1019
ISSN:1432-0916
DOI:10.1007/s00220-014-1907-2
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-014-1907-2
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Verfasserangaben:Razvan Gurau
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The 1/N expansion of the symmetric traceless and the antisymmetric tensor models in rank three von Benedetti, Dario (VerfasserIn) , Carrozza, Sylvain (VerfasserIn) , Gurǎu, Rǎzvan (VerfasserIn) , Kolanowski, Maciej (VerfasserIn) ,


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The 1/N expansion of tensor models with two symmetric tensors von Gurǎu, Rǎzvan (VerfasserIn)


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The complete 1/N expansion of colored tensor models in arbitrary dimension von Gurǎu, Rǎzvan (VerfasserIn)


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A review of the 1/N expansion in random tensor models von Gurǎu, Rǎzvan (VerfasserIn)


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The 1/N expansion of colored tensor models von Gurǎu, Rǎzvan (VerfasserIn)


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The 1/N expansion of colored tensor models in arbitrary dimension von Gurǎu, Rǎzvan (VerfasserIn) , Rivasseau, Vincent (VerfasserIn) ,


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