Discretisation Errors in Landau Gauge on the Lattice

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

Discretisation Errors in Landau Gauge on the Lattice

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arxiv hep-lat/9905006 v2 pith:T5OETLFN submitted 1999-05-06 hep-lat

Discretisation Errors in Landau Gauge on the Lattice

F.D.R. Bonnet , P.O. Bowman , D.B. Leinweber , A.G. Williams , D.G. Richards This is my paper

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keywords gaugeerrorsconditionfixinglandaudiscretisationimprovedlattice

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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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