Discretisation errors in Landau gauge on the lattice

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Lattice discretization errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a{sup 2}) errors are removed is presented. O(a{sup 2}) improvement of the gauge fixing condition improves comparison with continuum Landau gauge in two ways: (1) through the elimination of O(a{sup 2}) errors and (2) through a secondary effect of reducing the size of higher-order errors. These results emphasize the importance of implementing an improved gauge fixing condition.

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741 Kilobytes pages

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Bonnet, Frederic D.R.; Bowman, Patrick O.; Leinweber, Derek B.; Williams, Anthony G. & Richards, David G. May 1, 1999.

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Lattice discretization errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a{sup 2}) errors are removed is presented. O(a{sup 2}) improvement of the gauge fixing condition improves comparison with continuum Landau gauge in two ways: (1) through the elimination of O(a{sup 2}) errors and (2) through a secondary effect of reducing the size of higher-order errors. These results emphasize the importance of implementing an improved gauge fixing condition.

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741 Kilobytes pages

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  • Journal Name: Austral.J.Phys. 52 (1999) 939-948; Other Information: Submitted to Austral.J.Phys. 52 (1999) 939-948

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  • Report No.: DOE/ER/40150-1466
  • Report No.: JLAB-THY-99-10
  • Report No.: ADP-99-21/T363
  • Report No.: hep-lat/9905006
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 755800
  • Archival Resource Key: ark:/67531/metadc710567

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  • May 1, 1999

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 8:48 p.m.

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Bonnet, Frederic D.R.; Bowman, Patrick O.; Leinweber, Derek B.; Williams, Anthony G. & Richards, David G. Discretisation errors in Landau gauge on the lattice, article, May 1, 1999; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc710567/: accessed May 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.