Universal amplitude ratios of two-dimensional percolation from field theory

Abstract

We complete the determination of the universal amplitude ratios of two-dimensional percolation within the two-kink approximation of the form factor approach. For the cluster size ratio, which has for a long time been elusive both theoretically and numerically, we obtain the value 160.2, in good agreement with the lattice estimate 162.5 +/- 2 of Jensen and Ziff.

8 pages

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• Universal properties of Ising clusters and droplets near criticality
• Conformal partition functions of critical percolation from $D_3$ Thermodynamic Bethe Ansatz equations
• Crossing probability and number of crossing clusters in off-critical percolation
• Off-Critical Logarithmic Minimal Models
• Universal Amplitude Ratios for Constrained Critical Systems
• Critical points in coupled Potts models and correlated percolation