The double scaling limit of random tensor models
Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions $D\geq 3$. The free energies of some models have been recently shown to admit a double scaling limit, i.e. large tensor size $N$ while tuning to criticality, which turns out to be summable in...
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| Main Authors: | , , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
October 20, 2018
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| Edition: | Version v2 |
| In: |
Arxiv
Year: 2014, Pages: 1-37 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1404.7517
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| Author Notes: | Valentin Bonzom, Razvan Gurau, James P. Ryan, and Adrian Tanasa |
MARC
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| 520 | |a Tensor models generalize matrix models and generate colored triangulations of pseudo-manifolds in dimensions $D\geq 3$. The free energies of some models have been recently shown to admit a double scaling limit, i.e. large tensor size $N$ while tuning to criticality, which turns out to be summable in dimension less than six. This double scaling limit is here extended to arbitrary models. This is done by means of the Schwinger--Dyson equations, which generalize the loop equations of random matrix models, coupled to a double scale analysis of the cumulants. | ||
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