Notes on tensor models and tensor field theories

• Verfasst von: Gurǎu, Rǎzvan [VerfasserIn]
• Titel: Notes on tensor models and tensor field theories
• Verf.angabe: Razvan Gurau
• Ausgabe: Version v2
• E-Jahr: 2019
• Jahr: 15 Jul 2019
• Umfang: 49 S.
• Fussnoten: Version 1 vom 8. Juli 2019, Version 2 vom 15. Juli 2019 ; Gesehen am 06.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2019
• Band/Heft Quelle: (2019), Artikel-ID 1907.03531, Seite 1-49
• DOI: doi:10.48550/arXiv.1907.03531
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: High Energy Physics - Theory
• Sach-SW: Mathematical Physics
• K10plus-PPN: 1804439231

Abstract

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.