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Strict convexity of the free energy for non-convex gradient models at moderate $\beta$
Codina Cotar, Jean-Dominique Deuschel and Stefan Müller
We consider a gradient interface model on the lattice with interaction potential which is a non-convex perturbation of a convex potential. We show using a one-step multiple scale analysis the strict convexity of the surface tension at high temperature. This is an extension of Funaki and Spohn's result , where the strict convexity of potential was crucial in their proof.