A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet

Alan D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    For a class of models including the Ising ferromagnet and the φ4lattice field theory, I prove a rigorous upper bound for the specific heat in terms of the susceptibility and the magnetization. This bound implies the critical-exponent inequalities α ≤ max (0,( 2 - d 2)γ), α′ ≤ max (0,( 2 - d 2)γ′, γ′ - 2β), and αc ≤ max (0, ( 2 - d 2) (δ - 1), δ - 3) for lattice dimension d ≥ 2.

    Original languageEnglish (US)
    Pages (from-to)451-453
    Number of pages3
    JournalPhysics Letters A
    Volume71
    Issue number5-6
    DOIs
    StatePublished - May 28 1979

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    specific heat
    exponents
    magnetic permeability
    magnetization

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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    A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet. / Sokal, Alan D.

    In: Physics Letters A, Vol. 71, No. 5-6, 28.05.1979, p. 451-453.

    Research output: Contribution to journalArticle

    Sokal, Alan D. / A rigorous inequality for the specific heat of an Ising or φ4 ferromagnet. In: Physics Letters A. 1979 ; Vol. 71, No. 5-6. pp. 451-453.
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