Center vortices and the Gribov horizon

Jeff Greensite, Štefan Olejník, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    oulomb energy of color-charged states is related to enhanced density of near-zero modWe show how the infinite color-Ces of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.

    Original languageEnglish (US)
    Pages (from-to)1946-1984
    Number of pages39
    JournalJournal of High Energy Physics
    Issue number5
    StatePublished - May 1 2005


    • Confinement
    • Lattice Gauge Field Theories
    • Solitons Monopoles and Instantons

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics


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