**
Below is the ascii version of the abstract for 98-713.
The html version should be ready soon.** Francois DUNLOP, Jacques MAGNEN
A Wulff Shape from Constructive Field Theory
(484K, postscript)
ABSTRACT. We consider a sessile droplet as given by a height function $h(x)$,
subject to a Hamiltonian of the form $|\na h|^2+\la P(\na h)$,
where $P$ is a polynomial and $\la$ is small.
The corresponding Gibbs measure is conditioned on the value of the
droplet volume ${\rm V}=\int_\La dx\, h(x)\,$, where $\La\sub\Re^2$ is
a bounded domain of the plane. The droplet shape, in a scaling limit
${\rm V}\approx|\La|^{3/2}\rightarrow\infty$, is then a Wulff
shape, with logarithmic fluctuations. The proof, outlined in these
proceedings, is based on a phase space cluster expansion and
renormalization of a varying slope chemical potential.