Skullerud, Jonivar and Leinweber, Derek B. and Williams, Anthony G. (2001) Nonperturbative improvement and tree-level correction of the quark propagator. Physical Review D, 64 (7). ISSN 0556-2821

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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 csw and mean-field improvement coefficients in our improved quark propagators. We compare this to our earlier results which used the mean-field csw 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.

Item Type:	Article
Keywords:	Nonperturbative; improvement; tree-level; correction; quark propagator;
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Theoretical Physics
Item ID:	15681
Identification Number:	https://doi.org/10.1103/PhysRevD.64.074508
Depositing User:	Dr. Jonivar Skullerud
Date Deposited:	15 Mar 2022 17:26
Journal or Publication Title:	Physical Review D
Publisher:	American Physical Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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