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arXiv · hep-lat/0110188

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

Attilio Cucchieri·Tereza Mendes·Daniel Zwanziger
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Abstract

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 $β= 2.2$. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

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Attilio Cucchieri, Tereza Mendes, Daniel Zwanziger. 2001-10-22. SU(2) Running Coupling Constant and Confinement in Minimal Coulomb and Landau Gauges. https://doi.org/10.1016/s0920-5632(01)01820-5

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