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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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
23 February 2014
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| 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 |
| Summary: | 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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| Item Description: | Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-014-1907-2 |