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

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Abstract

We study the continuum scaling limit of some statistical mechanical models defined by convex Hamiltonians which are gradient perturbations of a massless free field. By proving a central limit theorem for these models, we show that their long distance behavior is identical to a new (homogenized) continuum massless free field. We shall also obtain some new bounds on the 2-point correlation functions of these models.

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Communicated by D.C. Brydges

This article was processed by the author using the LATEX style filepljour1 from Springer-Verlag.

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Naddaf, A., Spencer, T. On homogenization and scaling limit of some gradient perturbations of a massless free field. Commun.Math. Phys. 183, 55–84 (1997). https://doi.org/10.1007/BF02509796

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  • DOI: https://doi.org/10.1007/BF02509796

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