Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories

Jeff Greensite, Štefan Olejník, Daniel Zwanziger

    Research output: Contribution to journalArticlepeer-review


    We show that the confining property of the one-gluon propagator, in the Coulomb gauge, is linked to the unbroken realization of a remnant gauge symmetry which exists in this gauge. An order parameter for the remnant gauge symmetry is introduced, and its behavior is investigated in a variety of models via numerical simulations. We find that the color-Coulomb potential, associated with the gluon propagator, grows linearly with distance both in the confined and—surprisingly—in the high-temperature deconfined phase of pure Yang-Mills theory. We also find a remnant symmetry-breaking transition in SU(2) gauge-Higgs theory which completely isolates the Higgs region from the (pseudo)confinement region of the phase diagram. This transition exists despite the absence, pointed out long ago by Fradkin and Shenker, of a genuine thermodynamic phase transition separating the two regions.

    Original languageEnglish (US)
    Pages (from-to)18
    Number of pages1
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Issue number7
    StatePublished - 2004

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)


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