### 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 language | English (US) |
---|---|

Pages (from-to) | 119-128 |

Number of pages | 10 |

Journal | Communications in Mathematical Physics |

Volume | 74 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1980 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 74, no. 2, pp. 119-128. https://doi.org/10.1007/BF01197754

}

TY - JOUR

T1 - Normal fluctuations and the FKG inequalities

AU - Newman, C. M.

PY - 1980/6

Y1 - 1980/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002636084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002636084&partnerID=8YFLogxK

U2 - 10.1007/BF01197754

DO - 10.1007/BF01197754

M3 - Article

AN - SCOPUS:0002636084

VL - 74

SP - 119

EP - 128

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -