Discretisation errors in Landau gauge on the lattice

Lattice discretisation errors in the Landau gauge condition are examined. A n improved gauge fixing algorithm in which O(a(2)) errors are removed is pr esented. O (a(2)) improvement of the gauge fixing condition improves compar ison with the continuum Landau gauge in two ways: (1) through the eliminati on of O (a(2)) errors and (2) through a secondary erect of reducing the siz e of higher-order errors. These results emphasise the importance of impleme nting an improved gauge fixing condition.