The Vortex-Finding Property of Maximal Center (and Other) Gauges

Details The Vortex-Finding Property of Maximal Center (and Other) Gauges The Vortex-Finding Property of Maximal Center (and Other) Gauges

1999-10-18

arxiv.org/abs/hep-lat/9910033v1

JHEP9912:012,1999

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 10 figures, Latex2e

Scientific paper

10.1088/1126-6708/1999/12/012

We argue that the ``vortex-finding'' property of maximal center gauge, i.e. the ability of this gauge to locate center vortices inserted by hand on any given lattice, is the key to its success in extracting the vortex content of thermalized lattice configurations. We explain how this property comes about, and why it is expected not only in maximal center gauge, but also in an infinite class of gauge conditions based on adjoint-representation link variables. In principle, the vortex-finding property can be foiled by Gribov copies. This fact is relevant to a gauge-fixing procedure devised by Kovacs and Tomboulis, where we show that the loss of center dominance, found in their procedure, is explained by a corresponding loss of the vortex-finding property. The association of center dominance with the vortex-finding property is demonstrated numerically in a number of other gauges.

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