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

Jeff Greensite, Štefan ̌ Olejník, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    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)
    Article number074506
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume69
    Issue number7
    DOIs
    StatePublished - 2004

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    gauge theory
    symmetry
    energy
    propagation
    Coulomb potential
    Yang-Mills theory
    confining
    broken symmetry
    phase diagrams
    color
    thermodynamics
    simulation

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

    Cite this

    Coulomb energy, remnant symmetry, and the phases of non-Abelian gauge theories. / Greensite, Jeff; Olejník, Štefan ̌; Zwanziger, Daniel.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 69, No. 7, 074506, 2004.

    Research output: Contribution to journalArticle

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