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We develop a sealing 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 criticzl wetting transition effective Hamiltonian results show that the scaling theory is obeyed but the decay of correlations is anomalous. In contrast, far the complete wetting transition, scaling and Omstein-Zernike theory are both valid. We argue that the anomalous decay is specific to zero bulk field critical wetting transitions and d = 2.

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