Nonperturbative QCD, gauge-fixing, Gribov copies, and the lattice

Details Nonperturbative QCD, gauge-fixing, Gribov copies, and the lattice Nonperturbative QCD, gauge-fixing, Gribov copies, and the lattice

2003-04-07

arxiv.org/abs/hep-lat/0304003v1

Prog.Theor.Phys.Suppl.151:154-160,2003

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, 2 figures, to appear in Prog. Theor. Phys. Suppl. in the proceedings of the Tokyo-Adelaide Joint Workshop on Quarks,

Scientific paper

10.1143/PTPS.151.154

Perturbative QCD uses the Faddeev-Popov gauge-fixing procedure, which leads to ghosts and the local BRST invariance of the gauge-fixed perturbative QCD action. In the asymptotic regime, where perturbative QCD is relevant, Gribov copies can be neglected. In the nonperturbative regime, one must adopt either a nonlocal Gribov-copy free gauge (e.g., Laplacian gauge) or attempt to maintain local BRST invariance at the expense of admitting Gribov copies. These issues are explored. In addition, we discuss the relationship between recent Dyson-Schwinger based model calculations of the infrared behavior of QCD Green's functions and the lattice calculation of these quantities.

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