Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD

TL;DR

This study measures unquenched Kogut-Susskind quark propagators in lattice Landau gauge QCD, revealing finite mass functions at zero momentum, condensate presence, and implications for confinement criteria.

Contribution

First measurement of unquenched KS quark propagators with detailed analysis of condensates and renormalization effects in lattice Landau gauge QCD.

Findings

Mass function is finite at zero momentum (~0.38 GeV).

Good agreement with previous actions after renormalization corrections.

Infrared finite Z_2(q) relates to Kugo-Ojima confinement criterion.

Abstract

Quark propagators of the unquenched Kogut-Susskind(KS) fermion obtained from the gauge configurations of the MILC collaboration are measured after Landau gauge fixing and using the Staple+Naik action. Presence of the $\bar q q$ condensates and $A^2$ condensates in the dynamical mass $M(q)$ and the quark wave function renormalization $Z_\psi(q^2)$ are investigated. We obtain the correlation of the renormalization factor of the running coupling taken at $\mu\sim 6$GeV and that of the quark wave function renormalization $Z_\psi(q^2)$ of the Staple+Naik action. The mass function $\displaystyle M(q)$ is finite at $q=0$ and its chiral limit is $\sim 0.38$GeV. We compared the results corrected by the scale of the vertex renormalization and the tadpole renormalization with the corresponding values obtained by the Asqtad action without renormalization and observed good agreement.Implication of infrared finite $Z_2(q)=1/Z_\psi(q^2)$ to the Kugo-Ojima confinement criterion is discussed.