Quark propagator from an improved staggered action in Laplacian and Landau gauges

Details Quark propagator from an improved staggered action in Laplacian and Landau gauges Quark propagator from an improved staggered action in Laplacian and Landau gauges

2001-12-17

arxiv.org/abs/hep-lat/0112027v1

Nucl.Phys.Proc.Suppl.109A:163-167,2002

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 8 figs., Talk given at LHP workshop, Cairns

Scientific paper

10.1016/S0920-5632(02)01409-3

Studies of gauge dependent quantities are afflicted with Gribov copies, but Laplacian gauge fixing provides one possible solution to this problem. We present results for the lattice quark propagator in both Landau and Laplacian gauges using standard and improved staggered quark actions. The standard Kogut-Susskind action has errors of \oa{2} while the improved ``Asqtad'' action has \oa{4}, \oag{2}{2} errors and this improvement is seen in the quark propagator. We demonstrate the application of tree-level corrections to these actions and see that Landau and Laplacian gauges produce very similar results. In addition, we test an ansatz for the quark mass function, with promising results. In the chiral limit, the infrared quark mass, $M(q^2 = 0)$ is found to be $260\pm 20$ MeV.

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