Discretisation Errors in Landau Gauge on the Lattice

Details Discretisation Errors in Landau Gauge on the Lattice Discretisation Errors in Landau Gauge on the Lattice

1999-05-06

arxiv.org/abs/hep-lat/9905006v2

Austral.J.Phys.52:939-948,1999

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 1 figure, RevTex With corrected mean-field improvement and revised discussion

Scientific paper

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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