Coulomb-Gauge in QCD: Renormalization and Confinement

Daniel Zwanziger

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    Abstract

    We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the dynamical degrees of freedom with an instantaneous Coulomb interaction, and its physical meaning is discussed. The local Coulomb gauge action with phase-space and ghost variables is derived, and its BRS-invariance and renormalizability are reviewed. It is shown that the instantaneous part V(R) of g2D00(R,t), the time-time component of the gluon propagator, is a renormalization-group invariant V(R) = f (RΛQCD)/R, and that the contribution of V(R) to the Wilson loop exponentiates. It is conjectured that V(R) ≃ κcoul R at large R, and that κcoul provides an order parameter for confinement of color even in the presence of dynamical quarks.

    Original languageEnglish (US)
    Pages (from-to)233-242
    Number of pages10
    JournalProgress of Theoretical Physics Supplement
    Issue number131
    DOIs
    StatePublished - Jan 1 1998

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    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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