Abstract
We prove that the scaling limit for a large class of weakV(▽φ) perturbations of the free massless lattice field φ is Gaussian with the covariancec(V)(− Δ)−1. The correlations as well asc(V) are analytic inV. In particular the Mayer series for the dipole gas is convergent for small activity.
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Gawedzki, K., Kupiainen, A.: Block spin renormalization group for dipole gas and (▽φ)4. Ann. Phys.147, 198 (1983)
Magnen, J., Sénor, R.: Preprint, Ecole Polytechnique (1982)
Fontaine, J.: Bounds on the decay of correlations for λ(▽φ)4 models. Commun. Math. Phys.87, 385 (1982)
Tomboulis, G.: Absence of a deconfining phase transition in SU(2) gauge theory. Phys. Rev. D25, 606 (1982)
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Communicated by A. Jaffe
On leave of absence from Department of Mathematical Methods of Physics, Warsaw University
On leave of absence from Research Institute for Theoretical Physics, University of Helsinki, SF-00170 Helsinki, Finland
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Gawedzki, K., Kupiainen, A. Lattice dipole gas and (▽φ)4 models at long distances: Decay of correlations and scaling limit. Commun.Math. Phys. 92, 531–553 (1984). https://doi.org/10.1007/BF01215283
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DOI: https://doi.org/10.1007/BF01215283