Notes on tensor models and tensor field theories
Tensor models and tensor field theories admit a $1/N$ expansion and a melonic large $N$ limit which is simpler than the planar limit of random matrices and richer than the large $N$ limit of vector models. They provide examples of analytically tractable but non trivial strongly coupled quantum field...
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| Main Author: | |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
15 Jul 2019
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| Edition: | Version v2 |
| In: |
Arxiv
Year: 2019, Pages: 1-49 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1907.03531
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| Author Notes: | Razvan Gurau |
| Summary: | Tensor models and tensor field theories admit a $1/N$ expansion and a melonic large $N$ limit which is simpler than the planar limit of random matrices and richer than the large $N$ limit of vector models. They provide examples of analytically tractable but non trivial strongly coupled quantum field theories and lead to a new class of conformal field theories. We present a compact introduction to the topic, covering both some of the classical results in the field, like the details of the $1/N$ expansion, as well as recent developments. These notes are loosely bases on four lectures given at the Journ\'ees de physique math\'ematique Lyon 2019: Random tensors and SYK models. |
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| Item Description: | Version 1 vom 8. Juli 2019, Version 2 vom 15. Juli 2019 Gesehen am 06.10.2022 |
| Physical Description: | Online Resource |