Discretisation Errors in Landau Gauge on the Lattice

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which O(a) errors are removed is presented. It is shown that O(a) errors dominate standard gauge fixing procedures and an absolute estimate of the deviation from continuum Landau gauge is given. These results emphasise the importance of implementing an improved gauge fixing condition. E-mail: [email protected] E-mail: [email protected] WWW: http://www.physics.adelaide.edu.au/∼pbowman/ E-mail: [email protected] • Tel: +61 8 8303 3548 • Fax: +61 8 8303 3551 WWW: http://www.physics.adelaide.edu.au/theory/staff/leinweber/ E-mail: [email protected] • Tel: +61 8 8303 3546 • Fax: +61 8 8303 3551 WWW: http://www.physics.adelaide.edu.au/theory/staff/williams.html E-mail: [email protected]