PoS - Proceedings of Science
Volume 318 - Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) - Training School “Quantum Spacetime and Physics Models”
The full Schwinger-Dyson tower for random tensor models
C.I. Perez Sanchez
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Pre-published on: August 22, 2018
Published on: August 24, 2018
We treat random rank-$D$ tensor models as $D$-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 obtention 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.
DOI: https://doi.org/10.22323/1.318.0147
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