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

Abstract

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.

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

Cited by in corpus (13)

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• Landau-gauge condensates from the quark propagator on the lattice
• Gluon mass generation without seagull divergences
• QCD Running Couplings and Effective Charges
• Indirect determination of the Kugo-Ojima function from lattice data
• Quark propagator in Landau and Laplacian gauges with overlap fermions
• Counting Gribov copies
• Pion wave function from lattice QCD vs. chiral quark models
• Gribov copies and anomalous scaling