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 q2 0.3 GeV2 we find the corresponding MOM scheme running coupling αs(q2) 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.
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