Abstract
We consider a model of the complete wetting transition in three dimensions with short-ranged forces which allows for coupling between fluctuations in the order parameter near a substrate and the depinning interface. A renormalization group analysis shows that the effective value of our capillary parameter determining nonuniversal critical amplitudes is renormalized due to this coupling. Our results are in excellent quantitative agreement with the latest Ising model simulation studies of Binder, Landau, and Ferrenberg, which are inexplicable using a standard effective interfacial Hamiltonian model.