Normal fluctuations and the FKG inequalities

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Abstract

In a translation invariant pure phase of a ferromagnet, finite susceptibility and the FKG inequalities together imply convergence of the block spin scaling limit to the infinite temperature Gaussian fixed point. This result is presented in a rather general probabilistic context and is applicable to infinite cluster density fluctuations in percolation models and to boson field fluctuations in (Euclidean) Yukawa quantum field theory models as well as to magnetization fluctuations in Ising models.

Original languageEnglish (US)
Pages (from-to)119-128
Number of pages10
JournalCommunications In Mathematical Physics
Volume74
Issue number2
DOIs
StatePublished - Jun 1980

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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