A new proof of the existence and nontriviality of the continuum ϕ24 and ϕ34 quantum field theories

David C. Brydges, Jürg Fröhlich, Alan D. Sokal

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We use Schwinger-Dyson equations combined with rigorous "perturbation-theoretic" correlation inequalities to give a new and extremely simple proof of the existence and nontriviality of the weakly-coupled continuum φ{symbol}24 and φ{symbol}34 quantum field theories, constructed as subsequence limits of lattice theories. We prove an asymptotic expansion to order λ or λ2 for the correlation functions and for the mass gap. All Osterwalder-Schrader axioms are satisfied except perhaps Euclidean (rotation) invariance.

    Original languageEnglish (US)
    Pages (from-to)141-186
    Number of pages46
    JournalCommunications In Mathematical Physics
    Volume91
    Issue number2
    DOIs
    StatePublished - Jun 1983

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics

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