Fractal dimensions and corrections to scaling for critical Potts clusters

Abstract

Renormalization group and Coulomb gas mappings are used to derive theoretical predictions for the corrections to the exactly known asymptotic fractal masses of the hull, external perimeter, singly connected bonds and total mass of the Fortuin-Kasteleyn clusters for two-dimensional $q$-state Potts models at criticality. For q=4 these include exact logarithmic (as well as loglog) corrections.

To appear in a special issue of Fractals, dedicated to A. Coniglio

Cited by in corpus (4)

• Conformal Random Geometry
• Conformal Fractal Geometry and Boundary Quantum Gravity
• Theta-point polymers in the plane and Schramm-Loewner evolution
• Percolation on Hypergraphs with Four-Edges