The full Schwinger-Dyson tower for random tensor models
High Energy Physics - Theory
2018-08-28 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We treat random rank- tensor models as -dimensional quantum field theories---tensor field theories (TFT)---and review some of their non-perturbative methods. We classify the correlation functions of complex tensor field theories by boundary graphs, sketch the derivation of the Ward-Takahashi identity and stress its relevance in the derivation of the tower of exact, analytic Schwinger-Dyson equations for all the correlation functions (with connected boundary) of TFTs with quartic pillow-like interactions.
Cite
@article{arxiv.1808.07075,
title = {The full Schwinger-Dyson tower for random tensor models},
author = {Carlos I. Perez-Sanchez},
journal= {arXiv preprint arXiv:1808.07075},
year = {2018}
}
Comments
Proceedings: Corfu 2017 Training School "Quantum Spacetime and Physics Models"