Melons are branched polymers
Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched polymers. We show here that they are in fact precisely branched polymers, that is, they possess Hausdorff dimension 2 a...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2014
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| In: |
Annales Henri Poincaré
Year: 2014, Volume: 15, Issue: 11, Pages: 2085-2131 |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-013-0291-3 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00023-013-0291-3
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| Author Notes: | Razvan Gurau and James P. Ryan |
| Summary: | Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched polymers. We show here that they are in fact precisely branched polymers, that is, they possess Hausdorff dimension 2 and spectral dimension 4/3. |
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| Item Description: | Published online December 15, 2013 Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1424-0661 |
| DOI: | 10.1007/s00023-013-0291-3 |