# Correlation functions for colored tensor models and their Schwinger Dyson Equations

40th LQP Workshop "Foundations and Constructive Aspects of QFT"

Carlos I. Pérez Sánchez on June 24, 2017

Sat_1_Perez.pdf

Carlos I. Pérez Sánchez on June 24, 2017

Sat_1_Perez.pdf

Tensor models are a random geometry framework that generalizes, to arbitrary dimension, matrix models. They are used to model quantum gravity but, lately, some applications to AdS/CFT were discovered. Colored tensor models generate random orientable geometries. We scrutinize their correlation functions and briefly give their geometric interpretation in terms of bordisms. Based on a Ward-Takahashi identity, we give the Schwinger-Dyson Equations they obey. We work non-perturbatively.