SU(2) Running Coupling Constant and Confinement in Minimal Coulomb and Landau Gauges

Details SU(2) Running Coupling Constant and Confinement in Minimal Coulomb and Landau Gauges SU(2) Running Coupling Constant and Confinement in Minimal Coulomb and Landau Gauges

2001-10-22

arxiv.org/abs/hep-lat/0110188v1

Nucl.Phys.Proc.Suppl. 106 (2002) 697-699

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages and 2 figures; talk presented by A. Cucchieri at Lattice2001(confinement), Berlin, August 20-24, 2001

Scientific paper

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at $\beta = 2.2$. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

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