Confinement made simple in the Coulomb gauge

Details Confinement made simple in the Coulomb gauge Confinement made simple in the Coulomb gauge

2001-10-22

arxiv.org/abs/hep-lat/0110189v1

Nucl.Phys.Proc.Suppl. 106 (2002) 694-696

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages; talk presented by D. Zwanziger at Lattice2001(confinement), Berlin, August 20-24, 2001

Scientific paper

In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(R). This may be determined numerically from the instantaneous part of the gluon propagator D_{44, inst} = V(R) \delta(t). Confinement of gluons is reflected in the vanishing at k = 0 of the equal-time three-dimensionally transverse would-be physical gluon propagator D^{tr}(k). We present exact analytic results on D_{44} and D^{tr} (which have also been investigated numerically, A. Cucchieri, T. Mendes, and D. Zwanziger, this conference), in particular the vanishing of D^{tr}(k) at k = 0, and the determination of the running coupling constant from x_0 g^2(k) = k^2 D_{44, inst}, where x_0 = 12N/(11N-2N_f).

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