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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 28^396 lattices with lattice spacing a=0. 09 fm and on 20^364 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.
Parappilly et al. (Mon,) studied this question.