On practical problems to compute the ghost propagator in SU(2) lattice gauge theory

Abstract

In SU(2) lattice pure gauge theory we study numerically the dependence of the ghost propagator G(p) on the choice of Gribov copies in Lorentz (or Landau) gauge. We find that the effect of Gribov copies is essential in the scaling window region, however, it tends to decrease with increasing beta. On the other hand, we find that at larger beta-values very strong fluctuations appear which can make problematic the calculation of the ghost propagator.

15 pages, 5 postscript figures. 2 Figures added Revised version as to be published in Phys.Rev.D

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Cited by in corpus (33)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• 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
• Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories
• Propagators and running coupling from SU(2) lattice gauge theory
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Landau gauge gluon and ghost propagators at finite temperature from quenched lattice QCD
• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• Propagators in Coulomb gauge from SU(2) lattice gauge theory
• Landau gauge ghost and gluon propagators in SU(2) lattice gauge theory: Gribov ambiguity revisited
• Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
• Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Spectral properties of the Landau gauge Faddeev-Popov operator in lattice gluodynamics
• Some non-renormalization theorems in Curci-Ferrari model
• 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
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Lattice QCD gluon propagators near transition temperature
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• The gluon and ghost propagator and the influence of Gribov copies
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Ghost condensation on the lattice
• 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
• Non-perturbative study of QCD correlators
• Gluon and Ghost Propagators in Landau Gauge on the Lattice