Anomalous decay of pair correlations for two-dimensional critical wetting

Abstract

Develops a scaling theory for the decay of the spin-spin correlation function at two-dimensional (d=2) wetting transitions in systems with short-ranged forces. For the critical wetting transition effective Hamiltonian results show that the scaling theory is obeyed but the decay of correlations is anomalous. In contrast, for the complete wetting transition, scaling and the Ornstein-Zernike theory are both valid. The author argues that the anomalous decay is specific to zero bulk field critical wetting transitions ad d=2.