QCD, Gauge Fixing, and the Gribov Problem

Details QCD, Gauge Fixing, and the Gribov Problem QCD, Gauge Fixing, and the Gribov Problem

2002-02-07

arxiv.org/abs/hep-lat/0202010v1

Nucl.Phys.Proc.Suppl.109A:141-145,2002

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 2 figures, talk given at LHP 2001 workshop, Cairns, Australia

Scientific paper

The standard techniques of gauge-fixing, such as covariant gauge fixing, are entirely adequate for the purposes of studies of perturbative QCD. However, they fail in the nonperturbative regime due to the presence of Gribov copies. These copies arise because standard local gauge fixing methods do not completely fix the gauge. Known Gribov-copy-free gauges, such as Laplacian gauge, are manifestly non-local. These issues are examined and the implications of non-local gauge-fixing for ghost fields, BRST invariance, and the proof of renormalizability of QCD are considered.

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