Journal Article Renormalization procedure for random tensor networks and the canonical tensor model

Sasakura, Naoki  ,  Sato, Yuki

2015 ( 4 ) 2015-04-01 , Oxford University Press
Funded by SCOAP3
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 a 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 that relates discontinuity of the renormalization-group flow and the phase transitions of random tensor networks.

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