Quark propagator in the Landau gauge

Abstract

The Landau gauge quark propagator in momentum space is investigated using the O(a)-improved Sheikholeslami--Wohlert (SW) quark action with a tree-level mean-field improved coefficient c_sw. We have studied the unimproved definition of the quark propagator, as well as two different tree-level O(a)-improved propagators. The ultraviolet behavior of the free lattice propagator is studied for each of these in order to establish which of them provides the most reliable description of the quark propagator up to the medium momentum regime. A general method of tree-level correction is introduced. This exploits asymptotic freedom and removes much of the trivial lattice artifacts at medium to high momenta. We obtain results for the quark propagator which are qualitatively similar to those typically used in quark models. A simple extrapolation of the infrared quark mass M(p^2=0) to the chiral limit gives (298+/-8+/-30) MeV, which is consistent with phenomenological expectations.

18 pages, 17 figures, uses RevTeX4. Some changes to figures, added further discussion of systematic uncertainties. Version accepted for publication in Phys.Rev.D

References in corpus (9)

• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• The Quark-Photon Vertex and the Pion Charge Radius
• Infrared Behavior of the Gluon Propagator on a Large Volume Lattice
• Quenched QCD with O(a) improvement: I. The spectrum of light hadrons
• Light Quark Masses from Lattice Quark Propagators at Large Momenta
• Pseudoscalar Vertex and Quark Masses
• Quark Masses and Renormalization Constants from Quark Propagator and 3-point Functions
• Improved Landau Gauge Fixing and Discretisation Errors
• The quark propagator in momentum space

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