The 1/N expansion of colored tensor models
In this paper, we perform the 1/N expansion of the colored three-dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with increasingly complicated topologies suppressed by higher and higher powers of N. We compute the first orders of the expansion an...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
March 29, 2011
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| In: |
Annales Henri Poincaré
Year: 2011, Volume: 12, Issue: 5, Pages: 829-847 |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-011-0101-8 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-011-0101-8
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| Author Notes: | Razvan Gurau |
| Summary: | In this paper, we perform the 1/N expansion of the colored three-dimensional Boulatov tensor model. As in matrix models, we obtain a systematic topological expansion, with increasingly complicated topologies suppressed by higher and higher powers of N. We compute the first orders of the expansion and prove that only graphs corresponding to three spheres S3 contribute to the leading order in the large N limit. |
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| Item Description: | Gesehen am 07.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-011-0101-8 |