Every gauge orbit passes inside the Gribov horizon

Gianfausto Dell'Antonio, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    The L2 topology is introduced on the space of gauge connections A and a natural topology is introduced on the group of local gauge transformations GT. It is shown that the mapping GT×A→A defined by A→Ag=g*Ag+g*dg is continuous and that each gauge orbit is closed. The Hilbert norm of the gauge connection achieves its absolute minimum on each gauge orbit, at which point the orbit intersects the region bounded by the Gribov horizon.

    Original languageEnglish (US)
    Pages (from-to)291-299
    Number of pages9
    JournalCommunications In Mathematical Physics
    Issue number2
    StatePublished - May 1991

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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