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Grad ø perturbations of massless Gaussian fields

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Abstract

We investigate weak perturbations of the continuum massless Gaussian measure by a class of approximately local analytic functionals and use our general results to give a new proof that the pressure of the dilute dipole gas is analytic in the activity.

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Communicated by T. Spencer

Research partially supported by NSF Grant DMS-8802912

Research partially supported by NSF Grant DMS-8601978 and DMS-8806731

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Brydges, D., Yau, HT. Grad ø perturbations of massless Gaussian fields. Commun.Math. Phys. 129, 351–392 (1990). https://doi.org/10.1007/BF02096987

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  • DOI: https://doi.org/10.1007/BF02096987

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