Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory

Abstract

We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb gauge theory carrying out a joint analysis of data collected independently at RCNP Osaka and Humboldt University Berlin. We focus on the scaling behavior of these propagators at beta=5.8,...,6.2 and apply a matching technique to relate the data for the different lattice cutoffs. Thereby, lattice artifacts are found to be rather strong for both instantaneous gluon propagators at large momentum. As a byproduct we obtain the respective lattice scale dependences a(beta) for the transversal gluon and the ghost propagator which indeed run faster with beta than two-loop running, but slightly slower than what is known from the Necco-Sommer analysis of the heavy quark potential. The abnormal a(beta) dependence as determined from the instantaneous time-time gluon propagator, D_{44}, remains a problem, though. The role of residual gauge-fixing influencing D_{44} is discussed.

16 pages, 13 figures

References in corpus (15)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• On the reduction of hypercubic lattice artifacts
• Unquenching effects in the quark and gluon propagator
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Properties of Color-Coulomb String Tension
• Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD
• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD

Cited by in corpus (11)

• The Coulomb gauge ghost Dyson-Schwinger equation
• Fourier Accelerated Conjugate Gradient Lattice Gauge Fixing
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Higher order heavy quark Green's functions in Coulomb gauge
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
• Coulomb Confinement from the Yang-Mills Vacuum State in 2+1 Dimensions
• Functional approaches to infrared Yang-Mills theory in the Coulomb gauge
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Effective Chiral Symmetry Restoration for Heavy-Light Mesons