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: We study the continuum scaling limit of some statistical mechanicalmodels defined by convex Hamiltonians which are gradient perturbations of amassless free field. By proving a central limit theorem for these models, we showthat their long distance behavior is identical to a new (homogenized) continuummassless free field. We shall also obtain some new bounds on the 2-pointcorrelation functions of these models.1. Introduction and Statement of the Main ResultsIn this article, we study...

On homogenization and scaling limit of some gradient perturbations of a massless free field