Abstract
The mean-field and weak-fluctuation regimes of critical wetting transitions can be understood in the context of a rigorous many-body theory for fluids in the presence of power-law external fields. Exact sum rules are fully consistent with phenomenological knowledge of the significance of capillary-wave fluctuations and the expected scaling behavior of thermodynamic quantities. The general many-body structure is such that explicit results for the scaling functions are readily derived. This discussion is relevant to most experiments on critical wetting in three-dimensional systems.
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