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Title: Discretisation errors in Landau gauge on the lattice

Abstract

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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
755800
Report Number(s):
DOE/ER/40150-1466; JLAB-THY-99-10; ADP-99-21/T363; hep-lat/9905006
TRN: US0002572
DOE Contract Number:  
AC05-84ER40150
Resource Type:
Journal Article
Resource Relation:
Journal Name: Austral.J.Phys. 52 (1999) 939-948; Other Information: Submitted to Austral.J.Phys. 52 (1999) 939-948; PBD: 1 May 1999
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; GAUGE INVARIANCE; ALGORITHMS; PERTURBATION THEORY; ERRORS; MEAN-FIELD THEORY

Citation Formats

Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, and David G. Richards. Discretisation errors in Landau gauge on the lattice. United States: N. p., 1999. Web.
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, & David G. Richards. Discretisation errors in Landau gauge on the lattice. United States.
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, and David G. Richards. Sat . "Discretisation errors in Landau gauge on the lattice". United States. https://www.osti.gov/servlets/purl/755800.
@article{osti_755800,
title = {Discretisation errors in Landau gauge on the lattice},
author = {Frederic D.R. Bonnet and Patrick O. Bowman and Derek B. Leinweber and Anthony G. Williams and David G. Richards},
abstractNote = {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.},
doi = {},
journal = {Austral.J.Phys. 52 (1999) 939-948},
number = ,
volume = ,
place = {United States},
year = {Sat May 01 00:00:00 EDT 1999},
month = {Sat May 01 00:00:00 EDT 1999}
}