E. Bolthausen et al., Absence of a wetting transition for a pinned harmonic crystal in dimensions three and larger, J MATH PHYS, 41(3), 2000, pp. 1211-1223
We consider a free lattice field (a harmonic crystal) with a hard wall cond
ition and a weak pinning to the wall. We prove that in a weak sense the pin
ning always dominates the entropic repulsion of the hard wall condition whe
n the dimension is a least three. This contrasts with the situation in dime
nsion one, where there is a so-called wetting transition, as has been obser
ved by Michael Fisher. The existence of a wetting transition in the delicat
e two-dimensional case was recently proved by Caputo and Velenik. (C) 2000
American Institute of Physics. [S0022-2488(00)00503-X].