Fundamental modular region, Boltzmann factor, and area law in Lattice gauge theory

Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    The thermodynamic limit of lattice gauge theory is derived in a gauge which is optimized to make all link variables as close to unity as possible. The derivation rests upon (1) a precise bound on the fundamental modular region and (2) a direct evaluation of the functional integral of the Wilson lattice by the saddle-point method that is valid in the thermodynamic limit. The result confirms the calculational scheme obtained previously, which differs from the Faddeev-Popov scheme by the incorporation of non-perturbative effects, but which remains perturbatively renormalizable. The lattce Faddeev-Popov propagator, which appears in the modified action, acquires a dipole singularity at zero momentum, characteristic of long-range correlations. This is sufficient to produce an area law for Wilson loops, provided that unevaluated terms to not cancel the effect found.

    Original languageEnglish (US)
    Pages (from-to)198-200
    Number of pages3
    JournalNuclear Physics B (Proceedings Supplements)
    Volume34
    Issue numberC
    DOIs
    StatePublished - Apr 1994

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics
    • Nuclear and High Energy Physics

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