Double scaling in tensor models with a quartic interaction
In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The leading order for this 1/N expansion is made of graphs, called melons, which are dual to particular triangulations of the D-...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 17, 2013
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| In: |
Journal of high energy physics
Year: 2013, Issue: 3, Pages: 1-33 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP09(2013)088 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP09(2013)088
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| Author Notes: | Stéphane Dartois, Razvan Gurau and Vincent Rivasseau |
| Summary: | In this paper we identify and analyze in detail the subleading contributions in the 1/N expansion of random tensors, in the simple case of a quartically interacting model. The leading order for this 1/N expansion is made of graphs, called melons, which are dual to particular triangulations of the D-dimensional sphere, closely related to the “stacked” triangulations. For D < 6 the subleading behavior is governed by a larger family of graphs, hereafter called cherry trees, which are also dual to the D-dimensional sphere. They can be resummed explicitly through a double scaling limit. In sharp contrast with random matrix models, this double scaling limit is stable. Apart from its unexpected upper critical dimension 6, it displays a singularity at fixed distance from the origin and is clearly the first step in a richer set of yet to be discovered multi-scaling limits. |
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| Item Description: | Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP09(2013)088 |