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.

arXiv comment16 pages, 13 figures

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• The QCD Running Coupling
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Effects of divergent ghost loops on the Green's functions of QCD
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• A QCD analogy for quantum gravity
• A covariant variational approach to Yang-Mills Theory
• The Coulomb gauge ghost Dyson-Schwinger equation
• Infrared exponents and the strong-coupling limit in lattice Landau gauge
• SU(2) lattice gluon propagators at finite temperatures in the deep infrared region and Gribov copy effects
• Fourier Accelerated Conjugate Gradient Lattice Gauge Fixing
• Coulomb gauge confinement in the heavy quark limit
• Lattice QCD gluon propagators near transition temperature
• DbarN interaction in a color-confining chiral quark model
• Ghost propagator and the Coulomb form factor from the lattice
• 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
• Three-quark confinement potential from the Faddeev equation
• Constituent gluons and the static quark potential
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory
• Coulomb Confinement from the Yang-Mills Vacuum State in 2+1 Dimensions
• Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• The Coulomb flux tube on the lattice
• Yang-Mills Theory in lambda-Gauges
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• Gluon propagators and center vortices in gluon plasma
• Chirally symmetric and confining dense matter with a diffused quark Fermi surface
• 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
• Confining but chirally symmetric dense and cold matter