Infrared and ultraviolet properties of the Landau gauge quark propagator
Patrick O. Bowman, Urs M. Heller, Derek B. Leinweber, Anthony G., Williams, Jianbo Zhang

TL;DR
This paper reviews lattice QCD studies of the quark propagator in Landau gauge, comparing different actions and presenting preliminary results on the running quark mass to understand QCD Green's functions.
Contribution
It provides a systematic comparison of Overlap and Asqtad actions on various lattice ensembles and discusses the role of this work within broader QCD Green's function research.
Findings
Assessment of systematic errors in quark propagator calculations
Comparison of different lattice actions in QCD studies
Initial results on the running quark mass
Abstract
We present a current summary of a program to study the quark propagator using lattice QCD. We use the Overlap and ``Asqtad'' quark actions on a number of lattice ensembles to assess systematic errors. We comment on the place of this work amongst studies of QCD Green's functions in other formulations. A preliminary calculation of the running quark mass is presented.
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