Fit to Gluon Propagator and Gribov Formula

Details Fit to Gluon Propagator and Gribov Formula Fit to Gluon Propagator and Gribov Formula

2000-12-20

arxiv.org/abs/hep-lat/0012024v3

Phys.Lett. B524 (2002) 123-128

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 5 figures; minor modifications in the text; added references; corrected typos

Scientific paper

10.1016/S0370-2693(01)01365-X

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 vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)^{-1} diverges. Our fit lends reality to 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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