Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-11-23
Nucl.Phys.Proc.Suppl. 153 (2006) 185-190
Physics
High Energy Physics
High Energy Physics - Lattice
talk given by M. M.-P. at the Workshop on Computational Hadron Physics, Cyprus, September 2005
Scientific paper
10.1016/j.nuclphysbps.2006.01.04
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.
Ilgenfritz Ernst-Michael
Muller-Preussker Michael
Schiller Avraham
Sternbeck André
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