93-273 Anton Bovier, Christof K\"ulske

A rigorous renormalization group method for interfaces in random media (727K, ps) Oct 27, 93

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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)

Files: 93-273.ps