Correlation functions of U(N)-tensor models and their Schwinger–Dyson equations
Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 3, pp. 377-458.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

We analyze the correlation functions of U(N)-tensor models (or complex tensor models) and use the Ward–Takahashi identity in order to derive the full tower of exact, analytic Schwinger–Dyson equations. We write them explicitly for ranks D=3 and D=4. Throughout, we follow a non-perturbative approach. We propose the extension of this program to the Gurău–Witten model, a holographic tensor model based on the Sachdev–Ye–Kitaev model (SYK model).

Accepté le :
Publié le :
DOI : 10.4171/aihpd/107
Classification : 81-XX, 05-XX
Mots-clés : Quantum field theory, tensor models, tensor field theory, Schwinger–Dyson equations, quantum gravity, combinatorics 
@article{AIHPD_2021__8_3_377_0,
     author = {Pascalie, Romain and P\'erez-S\'anchez, Carlos I. and Wulkenhaar, Raimar},
     title = {Correlation functions of $U(N)$-tensor models and their {Schwinger{\textendash}Dyson} equations},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {377--458},
     volume = {8},
     number = {3},
     year = {2021},
     doi = {10.4171/aihpd/107},
     mrnumber = {4321221},
     zbl = {1483.81097},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/107/}
}
TY  - JOUR
AU  - Pascalie, Romain
AU  - Pérez-Sánchez, Carlos I.
AU  - Wulkenhaar, Raimar
TI  - Correlation functions of $U(N)$-tensor models and their Schwinger–Dyson equations
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2021
SP  - 377
EP  - 458
VL  - 8
IS  - 3
UR  - https://www.numdam.org/articles/10.4171/aihpd/107/
DO  - 10.4171/aihpd/107
LA  - en
ID  - AIHPD_2021__8_3_377_0
ER  - 
%0 Journal Article
%A Pascalie, Romain
%A Pérez-Sánchez, Carlos I.
%A Wulkenhaar, Raimar
%T Correlation functions of $U(N)$-tensor models and their Schwinger–Dyson equations
%J Annales de l’Institut Henri Poincaré D
%D 2021
%P 377-458
%V 8
%N 3
%U https://www.numdam.org/articles/10.4171/aihpd/107/
%R 10.4171/aihpd/107
%G en
%F AIHPD_2021__8_3_377_0
Pascalie, Romain; Pérez-Sánchez, Carlos I.; Wulkenhaar, Raimar. Correlation functions of $U(N)$-tensor models and their Schwinger–Dyson equations. Annales de l’Institut Henri Poincaré D, Tome 8 (2021) no. 3, pp. 377-458. doi : 10.4171/aihpd/107. https://www.numdam.org/articles/10.4171/aihpd/107/

Cité par Sources :