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arXiv · hep-lat/0511007

Scaling behavior of quark propagator in full QCD

Maria B. Parappilly·Patrick O. Bowman·Urs M. Heller·Derek B . Leinweber·Anthony G. Williams·J. B Zhang
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Abstract

We study the scaling behavior of the quark propagator on two lattices with similar physical volume in Landau gauge with 2+1 flavors of dynamical quarks in order to test whether we are close to the continuum limit for these lattices. We use configurations generated with an improved staggered (``Asqtad'') action by the MILC collaboration. The calculations are performed on $28^3\times 96$ lattices with lattice spacing $a = 0.09$ fm and on $20^3\times 64$ lattices with lattice spacing $a = 0.12$ fm. We calculate the quark mass function, $M(q^2)$, and the wave-function renormalization function, $Z(q^2)$, for a variety of bare quark masses. Comparing the behavior of these functions on the two sets of lattices we find that both $Z(q^2)$ and $M(q^2)$ show little sensitivity to the ultraviolet cutoff.

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Maria B. Parappilly, Patrick O. Bowman, Urs M. Heller, Derek B . Leinweber, Anthony G. Williams, J. B Zhang. 2006-03-02. Scaling behavior of quark propagator in full QCD. https://doi.org/10.1103/physrevd.73.054504

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