Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum

Abstract

In this talk we report on a recent lattice investigation of the Landau gauge gluon and ghost propagators in pure SU(3) lattice gauge theory with a special emphasis on the Gribov copy problem. In the (infrared) region of momenta $q^2\le 0.3{\mathrm{GeV}}^2$ we find the corresponding MOM scheme running coupling ${\alpha }_s(q^2)$ to rise in $q$. We also report on a first SU(3) computation of the ghost-gluon vertex function showing that it deviates only weakly from being constant. In addition we study the spectrum of low-lying eigenvalues and eigenfunctions of the Faddeev-Popov operator as well as the spectral representation of the ghost propagator.

arXiv commenttalk given by M. M.-P. at the Workshop on Computational Hadron Physics, Cyprus, September 2005

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Cited by in corpus (16)

• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Gluon mass generation in the PT-BFM scheme
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Is the QCD ghost dressing function finite at zero momentum ?
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• One loop gluon form factor and freezing of alpha_s in the Gribov-Zwanziger QCD Lagrangian
• On the leading OPE corrections to the ghost-gluon vertex and the Taylor theorem
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Constraints on the IR behaviour of gluon and ghost propagator from Ward-Slavnov-Taylor identities
• Lattice Landau gauge with stochastic quantisation
• Linear Covariant Gauges on the Lattice
• Divergent IR gluon propagator from Ward-Slavnov-Taylor identities?
• The quenched SU(2) scalar-gluon vertex in minimal Landau gauge
• Confinement encoded in Landau gauge gluon and ghost propagators