Mean-field bounds and correlation inequalities

Alan D. Sokal

    Research output: Contribution to journalArticlepeer-review


    I prove a new correlation inequality for a class of N-component classical ferromagnets (1≤N≤4). This inequality implies that the correlation functions decay exponentially and the spontaneous magnetization is zero, above the mean-field critical temperature.

    Original languageEnglish (US)
    Pages (from-to)431-439
    Number of pages9
    JournalJournal of Statistical Physics
    Issue number3
    StatePublished - Jul 1982


    • GHS inequality
    • Gaussian model
    • Lebowitz inequality
    • Mean-field theory
    • correlation inequalities
    • critical temperature

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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