Critical exponents for planar random-cluster model with cluster-weight $q=4$

Dmitry Krachun; Fran\c{c}ois Jacopin; Hong-Bin Chen; Hugo Duminil-Copin; Ioan Manolescu; Jiaming Xia; Tiancheng He

arxiv: 2605.30030 · v1 · pith:RDOYYJ5Jnew · submitted 2026-05-28 · 🧮 math.PR · cond-mat.stat-mech· math-ph· math.MP

Critical exponents for planar random-cluster model with cluster-weight q=4

Hong-Bin Chen , Hugo Duminil-Copin , Tiancheng He , Fran\c{c}ois Jacopin , Dmitry Krachun , Ioan Manolescu , Jiaming Xia This is my paper

classification 🧮 math.PR cond-mat.stat-mechmath-phmath.MP

keywords modelcriticalplanarexponentsrandom-clusterbaxter-kelland-wucluster-weightconvergence

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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 $q=4$, and the planar four-state Potts model.

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Critical exponents for planar random-cluster model with cluster-weight q=4

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