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arXiv · 1808.07075

The full Schwinger-Dyson tower for random tensor models

Carlos I. Perez-Sanchez
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Abstract

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 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.

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Carlos I. Perez-Sanchez. 2018-08-21. The full Schwinger-Dyson tower for random tensor models. https://doi.org/10.22323/1.318.0147

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