English

Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator

High Energy Physics - Lattice 2014-11-17 v3

Abstract

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are presented in the RI' and MSbar schemes as well as in RGI form and we discuss relations between the renormalization constants implied by chiral symmetry. After publication we corrected the numerator of the first coefficient of \alpha_s^3 in (24) from 3696847 to 3890527, which yields a 0.2% higher value of the conversion coefficient at \mu=2 GeV.

Keywords

Cite

@article{arxiv.hep-lat/0404006,
  title  = {Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator},
  author = {Christof Gattringer and M. Göckeler and Philipp Huber and C. B. Lang},
  journal= {arXiv preprint arXiv:hep-lat/0404006},
  year   = {2014}
}

Comments

24 pages, 7 figures, final version, After publication we corrected the numerator of the first coefficient of \alpha_s^3 in (24) from 3696847 to 3890527, which yields a 0.2% higher value of the conversion coefficient at \mu=2 GeV