Anton Bovier, Christof K\"ulske
A rigorous renormalization group method for interfaces in random media
(727K, ps)

ABSTRACT.  We prove the existence Gibbs states describing
 rigid interfaces in  a disordered solid-on-solid (SOS) for
 low temperatures and for weak
disorder in dimension $D\geq 4$.  This extends earlier results for
hierarchical models to the more realistic
models and proves a long-sanding conjecture.
 The proof is based on the renormalization group
method of Bricmont and Kupiainen originally developed for the
analysis of low-temperature phases of the random field Ising
model. In a broader context, we generalize this method
to a class of systems with non-compact single-site state space.
(THIS IS A REVISED VERSION  AND REPLACES 93-87)