Abstract

A Note on the Decay of Correlations under δ-Pinning D.Ioffe and Y. Velenik Probab. Theory Relat. Fields 116, 379-389 (2000). We prove that for a class of massless interface models of gradient type on the 2D square lattice an introduction of an arbitrary small pinning self-potential leads to exponential decay of correlation, or, in other words, to creation of mass. Key words: Non-Gaussian gradient model, SOS model, pinning, decay of correlations, Helffer-Sjï¿œstrand representation, Brascamp-Lieb inequality. Files: gzip'ed PS file, Published version, bibtex