Normal fluctuations and the FKG inequalities

Research output: Contribution to journalArticle

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

Fingerprint

FKG Inequality
Fluctuations
boson fields
Ferromagnet
Scaling Limit
Quantum Field Theory
Magnetization
Susceptibility
Bosons
Ising model
Ising Model
Euclidean
Fixed point
magnetic permeability
scaling
Imply
magnetization
Invariant
Model
temperature

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Normal fluctuations and the FKG inequalities. / Newman, C. M.

In: Communications in Mathematical Physics, Vol. 74, No. 2, 06.1980, p. 119-128.

Research output: Contribution to journalArticle

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