Infrared Features of the Landau Gauge QCD

Abstract

The infrared features of Landau gauge QCD are studied by the lattice simulation of $\beta =6.0,16^4,24^4,32^4$ and $\beta =6.4,32^4,48^4$. We adopt two definitions of the gauge field; 1) $U-$linear 2) $\log U$ and measured the gluon propagator and ghost propagator. Infrared singularity of the gluon propagator is less than that of tree level result but the gluon propagator at 0 momentum remains finite. The infrared singularity of ghost propagator is stronger than the tree level. The QCD running coupling measured by using the gluon propagator and the ghost propagator has a maximum ${\alpha }_s(p)\simeq 1$ at around $p=0.5GeV$ and decreases as $p$ approaches 0. The data are analyzed in use of formula of the principle of minimal sensitivity(PMS), the effective charge method and the contour-improved perturbation method, which suggest necessity of the resummation of perturbation series in the infrared region together with existence of the infrared fixed point. Kugo-Ojima parameter saturates at about -0.8 in contrast to the theoretically expected value -1.

RevTex4, 9 pages, 10 eps figures, Typos corrected. To be published in Phys. Rev. D(2004)

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• On the running coupling constant in QCD
• Landau-gauge propagators in Yang-Mills theories at beta = 0: massive solution versus conformal scaling
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Large volume behaviour of Yang-Mills propagators
• What the Gribov copy tells on the confinment and the theory of dynamical chiral symmetry breaking
• A study of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in Yang-Mills theories
• Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory
• Off-diagonal Gluon Mass Generation and Infrared Abelian Dominance in Maximally Abelian Gauge in SU(3) Lattice QCD
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
• Gluon Propagators in Maximally Abelian Gauge in SU(3) Lattice QCD
• Infrared Gluon Propagator from lattice QCD: results from large asymmetric lattices
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Solving coupled Dyson--Schwinger equations on a compact manifold
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• Effects of the quark field on the ghost propagator of Lattice Landau Gauge QCD
• Infrared behavior of gluon and ghost propagators from asymmetric lattices
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Infrared features of unquenched finite temperature lattice Landau gauge QCD
• The gluon and ghost propagator and the influence of Gribov copies
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
• Ghost condensation on the lattice
• Instantaneous interquark potential in generalized Landau gauge in SU(3) lattice QCD: a possible gauge for the quark potential model
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge
• Gribov's horizon and the ghost dressing function
• Propagator of the lattice domain wall fermion and the staggered fermion
• Numerical Study of Lattice Landau Gauge QCD and the Gribov Copy Problem
• Lattice Gluon Propagator in the Landau Gauge: A Study Using Anisotropic Lattices
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Numerical test of the Gribov-Zwanziger scenario in Landau gauge
• A Closer Look at Gluons
• 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
• A Numerical Approach to Coulomb Gauge QCD
• Dimensional reduction gauge and effective dimensional reduction in the four-dimensional Yang-Mills theory
• The self-dual gauge fields and the domain wall fermion zero modes