Infrared features of KS fermion and Wilson fermion in Lattice Landau Gauge QCD

Abstract

The running coupling and the Kugo-Ojima parameter of unquenched lattice Landau gauge are simulated and compared with the continuum theory. Presence of infrared fixed point of ${\alpha }_0\sim 2-2.5$ irrespective of the fermion actions (Wilson fermions and Kogut-Susskind(KS) fermions) in the continuum and in the chiral limit is suggested. Although there exists dependence on the polarization due to asymmetry of the lattice (time axis is longer than spacial axes), the Kugo-Ojima parameter $c$ is consistent with 1. Presence of $1+c_1/q^2$ correction factor in the running coupling depends on the lattice size and the sea quark mass. In the large lattice size and small sea quark mass, $c_1\sim 2.8$GeV is confirmed. The MILC configuration of $a=0.09$fm suggests also presence of dimension 4 condensates with sign opposite to the dimension 2 condensates. The gluon propagator, the ghost propagator and the running coupling are compared with recent pQCD results including anomalous dimension of fields up to the 4-loop level.

28 pages, 20 figures. Title changed. Published version. FBSart.cls, FBSmath.clo etc are used (Fig.17 and 20 remain compressed due to the size limit of 1000KB.)

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• A Possible Aoki Phase for Staggered Fermions
• Numerical Study of Lattice Landau Gauge QCD and the Gribov Copy Problem
• Implications of Analyticity to Mass Gap, Color Confinement and Infrared Fixed Point in Yang--Mills theory
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Cited by in corpus (26)

• The QCD Running Coupling
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Infrared features of unquenched finite temperature lattice Landau gauge QCD
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Linear Covariant Gauges on the Lattice
• Remarks on a class of renormalizable interpolating gauges
• Gribov's horizon and the ghost dressing function
• Propagator of the lattice domain wall fermion and the staggered fermion
• A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge
• Numerical test of the Gribov-Zwanziger scenario in Landau gauge
• A Closer Look at Gluons
• The hybrid meson: new results from the updated mg and alpha_s parameters
• Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the Wess-Zumino gauge in the presence of the local composite operators $A^2$ and $\bar{\lambda }\lambda$
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• Infrared fixed point of QCD, critical flavor number and triality automorphism of octonions
• Non-perturbative aspects of Yang-Mills theories
• Covariant Mass and Geometrical setup in Euclidean gauge theories
• The self-dual gauge fields and the domain wall fermion zero modes