Discretisation errors in Landau gauge on the lattice

Journal Article · Sat May 01 00:00:00 EDT 1999 · Austral.J.Phys. 52 (1999) 939-948

DOI:https://doi.org/10.1071/PH99047· OSTI ID:755800

Bonnet, Frederic D.R.; Bowman, Patrick O; Leinweber, Derek B; Williams, Anthony G; Richards, David G

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

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 755800
• Report Number(s): DOE/ER/40150-1466; JLAB-THY-99-10; ADP-99-21/T363; hep-lat/9905006; TRN: US0002572
• Journal Information: Austral.J.Phys. 52 (1999) 939-948, Vol. 52, Issue 6; Other Information: Submitted to Austral.J.Phys. 52 (1999) 939-948; PBD: 1 May 1999; ISSN 0004--9506
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
ALGORITHMS
PERTURBATION THEORY
ERRORS
MEAN-FIELD THEORY