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arXiv · 1501.05078

Renormalization procedure for random tensor networks and the canonical tensor model

Naoki Sasakura·Yuki Sato
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Abstract

We discuss a renormalization procedure for random tensor networks, and show that the corresponding renormalization-group flow is given by the Hamiltonian vector flow of the canonical tensor model, which is a discretized model of quantum gravity. The result is the generalization of the previous one concerning the relation between the Ising model on random networks and the canonical tensor model with N=2. We also prove a general theorem which relates discontinuity of the renormalization-group flow and the phase transitions of random tensor networks.

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Naoki Sasakura, Yuki Sato. 2015-01-21. Renormalization procedure for random tensor networks and the canonical tensor model. https://doi.org/10.1093/ptep%2Fptv049

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