Phase transition in tensor models
Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a 1/N expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resu...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
June 25, 2015
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| In: |
Journal of high energy physics
Year: 2015, Issue: 6, Pages: 1-34 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP06(2015)178 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP06(2015)178
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| Author Notes: | Thibault Delepouve and Razvan Gurau |
| Summary: | Generalizing matrix models, tensor models generate dynamical triangulations in any dimension and support a 1/N expansion. Using the intermediate field representation we explicitly rewrite a quartic tensor model as a field theory for a fluctuation field around a vacuum state corresponding to the resummation of the entire leading order in 1/N (a resummation of the melonic family). We then prove that the critical regime in which the continuum limit in the sense of dynamical triangulations is reached is precisely a phase transition in the field theory sense for the fluctuation field. |
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| Item Description: | Gesehen am 05.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP06(2015)178 |