Lattice quark propagator with staggered quarks in Landau and Laplacian gauges

TL;DR

This paper investigates the lattice quark propagator using staggered quark actions in Landau and Laplacian gauges, comparing their effects and improvements in error reduction for studying chiral symmetry breaking.

Contribution

It provides a comparative analysis of the quark propagator in different gauges and with improved actions, highlighting gauge effects and error reductions.

Findings

Landau and Laplacian gauges yield similar quark propagator results.

Improved staggered actions reduce discretization errors.

Gauge choice has minimal impact on the propagator results.

Abstract

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 \oa{2} while the ``Asqtad'' action has \oa{4}, \oag{2}{2} errors. The quark propagator is interesting for studying the phenomenon of dynamical chiral symmetry breaking and as a test-bed 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.