no. 1
Notes on tensor models and tensor field theories
Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 1, pp. 159-218.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

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 Journées de physique mathématique Lyon 2019: Random tensors and SYK models.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/117
Classification : 81-XX, 00-XX
Keywords: Tensor field theory 
@article{AIHPD_2022__9_1_159_0,
     author = {Gurau, Razvan G.},
     title = {Notes on tensor models and tensor field theories},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {159--218},
     volume = {9},
     number = {1},
     year = {2022},
     doi = {10.4171/aihpd/117},
     mrnumber = {4408001},
     zbl = {1513.81112},
     language = {en},
     url = {https://numdam.org/articles/10.4171/aihpd/117/}
}
TY  - JOUR
AU  - Gurau, Razvan G.
TI  - Notes on tensor models and tensor field theories
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2022
SP  - 159
EP  - 218
VL  - 9
IS  - 1
UR  - https://numdam.org/articles/10.4171/aihpd/117/
DO  - 10.4171/aihpd/117
LA  - en
ID  - AIHPD_2022__9_1_159_0
ER  - 
%0 Journal Article
%A Gurau, Razvan G.
%T Notes on tensor models and tensor field theories
%J Annales de l’Institut Henri Poincaré D
%D 2022
%P 159-218
%V 9
%N 1
%U https://numdam.org/articles/10.4171/aihpd/117/
%R 10.4171/aihpd/117
%G en
%F AIHPD_2022__9_1_159_0
Gurau, Razvan G. Notes on tensor models and tensor field theories. Annales de l’Institut Henri Poincaré D, Tome 9 (2022) no. 1, pp. 159-218. doi : 10.4171/aihpd/117. https://numdam.org/articles/10.4171/aihpd/117/

Cité par Sources :