Lattice quark propagator with staggered quarks in Landau and Laplacian gauges

We report on the lattice quark propagator using standard and improved staggered quark actions, with the standard Wilson gauge action. The standard Kogut-Susskind action has errors of $\mathcal{O}{(a}^2)$ while the “Asqtad” action has $\mathcal{O}{(a}^4),$ $\mathcal{O}{(a}^2{g}^2)$ errors. The quark propagator is interesting for studying the phenomenon of dynamical chiral symmetry breaking and as a testbed for improvement. Gauge dependent quantities from lattice simulations may be affected by Gribov copies. We explore this by studying the quark propagator in both Landau and Laplacian gauges. Landau and Laplacian gauges are found to produce very similar results for the quark propagator.