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Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets

Probability 2009-11-10 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

We rigorously derive the Ornstein-Zernike asymptotics of the pair-correlation functions for finite-range Ising ferromagnets in any dimensions and at any temperature above critical.

Keywords

Cite

@article{arxiv.math/0304349,
  title  = {Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets},
  author = {M. Campanino and D. Ioffe and Y. Velenik},
  journal= {arXiv preprint arXiv:math/0304349},
  year   = {2009}
}