Fit to gluon propagator and Gribov formula

Attilio Cucchieri, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)-1 diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

    Original languageEnglish (US)
    Pages (from-to)123-128
    Number of pages6
    JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
    Volume524
    Issue number1-2
    DOIs
    StatePublished - Jan 3 2002

    Keywords

    • Color-Coulomb potential
    • Confinement
    • Gluon propagator
    • Gribov horizon
    • Running coupling constant

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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