Fit to Gluon Propagator and Gribov Formula
Abstract
We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at $\beta = 2.2$ and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equal-time would-be physical gluon propagator, that {\it vanishes} like $|{\bf k}|$ at ${\bf k} = \bf{0}$, whereas the free equal-time propagator $(2|{\bf k}|)^{-1}$ {\it diverges}. Our fit substantiates a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.
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