Numerical study of the gluon propagator and confinement scenario in the minimal Coulomb gauge

Attilio Cucchieri, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We present numerical results in SU(2) lattice gauge theory for the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge. It is found that the equal-time would-be physical 3-dimensionally transverse gluon propagator Dtr(k) vanishes at k = 0 when extrapolated to infinite lattice volume, whereas the instantaneous color-Coulomb potential D44(k) is strongly enhanced at k = 0. This has a natural interpretation in a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color. Gribov's formula Dtr(k) = (|k|/2)[(k→2)2 + M4]1/2 provides an excellent fit to our data for the 3-dimensionally transverse equal-time gluon propagator Dtr(k) for relevant values of k.

    Original languageEnglish (US)
    Article number014001
    Pages (from-to)140011-1400111
    Number of pages1260101
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume65
    Issue number1
    StatePublished - Jan 1 2002

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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