Elsevier

Annals of Physics

Volume 147, Issue 1, 15 August 1983, Pages 198-243
Annals of Physics

Block spin renormalization group for dipole gas and (∇φ)4

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Abstract

A rigorous, non-perturbative analysis of the block spin (BS) renormalization group is performed for a large class of massless lattice models such as the dipole gas and (∇φ)4. Effective Hamiltonians are shown to be driven to the line of Gaussian fixed points by iteration of the BS-transformation. Analyticity of the presure and the dielectric constant in the (weak) coupling is proven. In particular, the perturbation expansion in activity for the dipole gas is convergent.

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