ANOMALOUS DECAY OF PAIR CORRELATIONS FOR 2-DIMENSIONAL CRITICAL WETTING

We develop 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 Ornstein-Zernike theory are both valid. We argue that the anomalous decay is specific to zero bulk field critical wetting transitions and d = 2.