The vortex-finding property of maximal center (and other) gauges

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The authors 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. The authors 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, ... continued below

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Faber, M.; Greensite, J.; Olejnik, S. & Yamada, D. October 1, 1999.

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The authors 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. The authors 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 they show that the loss of center dominance, found in their procedure, is explained by a corresponding loss of the vortex-finding property. The dependence of center dominance on the vortex-finding property is demonstrated numerically in a number of other gauges.

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INIS; OSTI as DE00753100

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  • Other Information: PBD: 1 Oct 1999

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  • Report No.: LBNL--44598
  • Grant Number: AC03-76SF00098
  • DOI: 10.2172/753100 | External Link
  • Office of Scientific & Technical Information Report Number: 753100
  • Archival Resource Key: ark:/67531/metadc702424

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  • October 1, 1999

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • Sept. 1, 2016, 7:16 p.m.

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Faber, M.; Greensite, J.; Olejnik, S. & Yamada, D. The vortex-finding property of maximal center (and other) gauges, report, October 1, 1999; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc702424/: accessed December 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.