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arXiv · hep-lat/9905006

Discretisation Errors in Landau Gauge on the Lattice

F. D. R. Bonnet·P. O. Bowman·D. B. Leinweber·A. G. Williams·D. G. Richards
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Abstract

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

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F. D. R. Bonnet, P. O. Bowman, D. B. Leinweber, A. G. Williams, D. G. Richards. 1999-06-09. Discretisation Errors in Landau Gauge on the Lattice. https://doi.org/10.1071/ph99047

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