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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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
23 February 2014
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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 |
| Zusammenfassung: | 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 mixed expansion recasts the problem of determining the subleading corrections in 1/N into a simple combinatorial problem of counting trees decorated by a finite number of loop edges. |
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| Beschreibung: | Gesehen am 05.10.2022 |
| Beschreibung: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-014-1907-2 |