Critical exponents for planar random-cluster model with cluster-weight $q=4$
Probability
2026-05-29 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar critical random-cluster model at , and the planar four-state Potts model.
Cite
@article{arxiv.2605.30030,
title = {Critical exponents for planar random-cluster model with cluster-weight $q=4$},
author = {Hong-Bin Chen and Hugo Duminil-Copin and Tiancheng He and François Jacopin and Dmitry Krachun and Ioan Manolescu and Jiaming Xia},
journal= {arXiv preprint arXiv:2605.30030},
year = {2026}
}
Comments
28 pages, 5 figures