On the renormalized coupling constant and the susceptibility in φ44 field theory and the Ising model in four dimensions

Michael Aizenman, Ross Graham

Research output: Contribution to journalArticle

55 Scopus citations

Abstract

We discuss the euclidean φ44 field theory, and the critical behavior in ferromagnetic systems in four dimensions. It is rigorously shown that there are at most logarithmic corrections to the mean field law in the behavior of the magnetic susceptibility X = ΣS2(0, x). Furthermore, if any such corrections are present in a continuum limit which is used to construct a φ44 field theory, the limiting theory would be non-interacting. Our analysis extends to ferromagnetic systems of variables which belong to the Griffiths-Simon class.

Original languageEnglish (US)
Pages (from-to)261-288
Number of pages28
JournalNuclear Physics, Section B
Volume225
Issue number2
DOIs
StatePublished - Oct 31 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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