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Prog. Theor. Phys. Supplement No.131 (1998) pp. 233-242

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Coulomb-Gauge in QCD: Renormalization and Confinement

Daniel Zwanziger

Department of Physics, New York University, New York, NY 10003, USA

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 g2 D00(R, t), the time-time component of the gluon propagator, is a renormalization-group invariant V(R) = f(RΛ QCD)/R, and that the contribution of V(R) to the Wilson loop exponentiates. It is conjectured that V(R) ∼κ coulR at large R, and that κ coul provides an order parameter for confinement of color even in the presence of dynamical quarks.


URL : http://ptp.ipap.jp/link?PTPS/131/233/
DOI : 10.1143/PTPS.131.233

[ Full Text PDF : FREE ACCESS (500K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 115 No. 1 (2006) pp. 189-200 :
    Color Confinement in Coulomb Gauge QCD
    Atsushi Nakamura and Takuya Saito
  2. Progress of Theoretical Physics Supplement No.168 (2007) pp. 381-384 :
    Color-Singlet Instantaneous Potential in the Coulomb Gauge QCD
    Yoshiyuki Nakagawa, Atsushi Nakamura, Takuya Saito and Hiroshi Toki

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