Field theoretic renormalization group is applied to measurement and entanglement phase transitions. The renormalization group flows for both random tensor networks and monitored systems show that, in high dimensions, there exist distinct weak- and strong-coupling universality classes for these phase transitions. In addition, one of the field theories exhibits a supersymmetry that leads to dimensional reduction by four.

arXiv:2303.07848Physical review. B./Physical review. BSep 12, 202315 citations

arXiv:1501.05078 · Progress of Theoretical and Experimental Physics

Renormalization procedure for random tensor networks and the canonical tensor model

Naoki Sasakura, Yuki Sato

Published Apr 1, 2015• 8 citations

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Abstract

N=2

|⁠. We also prove a general theorem that relates discontinuity of the renormalization-group flow and the phase transitions of random tensor networks.

DOI: 10.1093/ptep/ptv049

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N=2

|⁠. We also prove a general theorem that relates discontinuity of the renormalization-group flow and the phase transitions of random tensor networks.

a

- and

c

-functions of RG. A complete classification of fixed points is given. Although there are no cyclic flows in the strict sense, they exist, if infinitesimal jumps are allowed near fixed points.