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arXiv · hep-lat/0102013

Nonperturbative improvement and tree-level correction of the quark propagator

Jonivar Skullerud·Derek B. Leinweber·Anthony G. Williams
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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.

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Jonivar Skullerud, Derek B. Leinweber, Anthony G. Williams. 2001-06-27. Nonperturbative improvement and tree-level correction of the quark propagator. https://doi.org/10.1103/physrevd.64.074508

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