A review of the 1/N expansion in random tensor models
Matrix models are a highly successful framework for the analytic study of random two dimensional surfaces with applications to quantum gravity in two dimensions, string theory, conformal field theory, statistical physics in random geometry, etc. Their success relies crucially on the so called 1/N ex...
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| Main Author: | |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
14 Sep 2012
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| In: |
Arxiv
Year: 2012, Pages: 1-11 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1209.3252
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| Author Notes: | Razvan Gurau |
| Summary: | Matrix models are a highly successful framework for the analytic study of random two dimensional surfaces with applications to quantum gravity in two dimensions, string theory, conformal field theory, statistical physics in random geometry, etc. Their success relies crucially on the so called 1/N expansion introduced by 't Hooft. In higher dimensions matrix models generalize to tensor models. In the absence of a viable 1/N expansion tensor models have for a long time been less successful in providing an analytically controlled theory of random higher dimensional topological spaces. This situation has drastically changed recently. Models for a generic complex tensor have been shown to admit a 1/N expansion dominated by graphs of spherical topology in arbitrary dimensions and to undergo a phase transition to a continuum theory. |
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| Item Description: | Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |