Author:
Lamsen Noel,Diouane Youness,Delfino Gesualdo
Abstract
Abstract
We use scale invariant scattering theory to exactly determine the renormalization group fixed points of a q-state Potts model coupled to an r-state Potts model in two dimensions. For integer values of q and r the fixed point equations are very constraining and show in particular that scale invariance in coupled Potts ferromagnets is limited to the Ashkin–Teller case (
q
=
r
=
2
). Since our results extend to continuous values of the number of states, we can access the limit r → 1 corresponding to correlated percolation, and show that the critical properties of Potts spin clusters cannot in general be obtained from those of Fortuin–Kasteleyn clusters by analytical continuation.
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
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1. On the
RPN−1
and
CPN−1
universality classes;Journal of Statistical Mechanics: Theory and Experiment;2023-04-01