Discretisation Errors in Landau Gauge on the Lattice

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

doi:10.1071/PH99047

Discretisation Errors in Landau Gauge on the Lattice

High Energy Physics - Lattice 2015-06-25 v2

Authors: F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams , D. G. Richards

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Abstract

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.

Keywords

Landau gauge discretisation errors gauge fixing lattice gauge theory O(a^2) improvement

Cite

@article{arxiv.hep-lat/9905006,
  title  = {Discretisation Errors in Landau Gauge on the Lattice},
  author = {F. D. R. Bonnet and P. O. Bowman and D. B. Leinweber and A. G. Williams and D. G. Richards},
  journal= {arXiv preprint arXiv:hep-lat/9905006},
  year   = {2015}
}

Comments

11 pages, 1 figure, RevTex With corrected mean-field improvement and revised discussion

Discretisation Errors in Landau Gauge on the Lattice

Abstract

Keywords

Cite

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