Lattice data at beta=2.5 and 2.7 favor a power-law transverse falloff of the Coulomb flux tube, with exponent near 2, instead of the exponential falloff reported at beta=2.5 by Chung and Greensite.
Confinement made simple in the Coulomb gauge
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abstract
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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The Coulomb flux tube revisited
Lattice data at beta=2.5 and 2.7 favor a power-law transverse falloff of the Coulomb flux tube, with exponent near 2, instead of the exponential falloff reported at beta=2.5 by Chung and Greensite.