Dunlop , Magnen , Rivasseau
Mass generation for an interface in the mean field regime
(69K, TeX)
ABSTRACT. We consider a two dimensional statistical mechanics model of an interface
in three dimensional space with a weak potential tending to
localize the interface near a preferred plane.
For a number of different such potentials we prove that
the two point function decreases exponentially in the mean field
regime where the potential is very flat. We estimate the corresponding
rate of decay.