English

Nonperturbative improvement and tree-level correction of the quark propagator

High Energy Physics - Lattice 2010-03-04 v3 High Energy Physics - Phenomenology

Abstract

We extend an earlier study of the Landau gauge quark propagator in quenched QCD where we used two forms of the O(a)-improved propagator with the Sheikholeslami-Wohlert quark action. In the present study we use the nonperturbative value for the clover coefficient c_sw and mean-field improvement coefficients in our improved quark propagators. We compare this to our earlier results which used the mean-field c_sw and tree-level improvement coefficients for the propagator. We also compare three different implementations of tree-level correction: additive, multiplicative, and hybrid. We show that the hybrid approach is the most robust and reliable and can successfully deal even with strong ultraviolet behavior and zero-crossing of the lattice tree-level expression. We find good agreement between our improved quark propagators when using the appropriate nonperturbative improvement coefficients and hybrid tree-level correction. We also present a simple extrapolation of the quark mass function to the chiral limit.

Keywords

Cite

@article{arxiv.hep-lat/0102013,
  title  = {Nonperturbative improvement and tree-level correction of the quark propagator},
  author = {Jonivar Skullerud and Derek B. Leinweber and Anthony G. Williams},
  journal= {arXiv preprint arXiv:hep-lat/0102013},
  year   = {2010}
}

Comments

12 pages, 18 figures, RevTeX4. Some clarifications and corrections. Final version, to appear in Phys.Rev.D