Confinement made simple in the Coulomb gauge

Attilio Cucchieri, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(R). This may be determined numerically from the instantaneous part of the gluon propagator D44,inst = V(R)δ(t). Confinement of gluons is reflected in the vanishing at k = 0 of the equal-time three- dimensionally transverse would-be physical gluon propagator Dtr(k). We present exact analytic results on D44 and Dtr (which have also been investigated numerically, A. Cucchieri, T. Mendes, and D. Zwanziger, this conference), in particular the vanishing of Dtr(k) at k = 0, and the determination of the running coupling constant from χ0g2(k) = k2 D44,inst, where χ0 = 12N/(11N - 2Nf).

    Original languageEnglish (US)
    Pages (from-to)694-696
    Number of pages3
    JournalNuclear Physics B - Proceedings Supplements
    Volume106-107
    DOIs
    StatePublished - Mar 2002

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    color
    propagation
    gluons
    Coulomb potential

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Confinement made simple in the Coulomb gauge. / Cucchieri, Attilio; Zwanziger, Daniel.

    In: Nuclear Physics B - Proceedings Supplements, Vol. 106-107, 03.2002, p. 694-696.

    Research output: Contribution to journalArticle

    Cucchieri, Attilio ; Zwanziger, Daniel. / Confinement made simple in the Coulomb gauge. In: Nuclear Physics B - Proceedings Supplements. 2002 ; Vol. 106-107. pp. 694-696.
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