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research
Lattice QCD, gauge fixing and the transition to the perturbative regime
Authors
M. Stanford
A. Williams
Publication date
1 January 2002
Publisher
'World Scientific Pub Co Pte Lt'
Doi
Cite
Abstract
Copyright © 2002. Submitted to Cornell University’s online archive www.arXiv.org in 2002 by Anthony G. Williams. Post-print sourced from www.arxiv.org. Copyright © 2002 World Scientific Publishing Co. All rights reservedThe standard definition of 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 nonperturbative regime, there appears to be a choice of using nonlocal Gribov-copy free gauges (e.g. Laplacian gauge) or of attempting to maintain local BRST invariance at the expense of admitting Gribov copies and somehow summing or averaging over them. It should be recognized that the standard implementation of lattice QCD corresponds to the former choice even when only physical (i.e. colour singlet) observables are being calculated. These issues are introduced and briefly explained
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