The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD

Abstract

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible four-gluon couplings as well as the gluon-ghost and ghost-ghost scattering kernels are neglected. The infrared behavior of gluon and ghost propagators is obtained analytically: The gluon propagator vanishes for small spacelike momenta whereas the ghost propagator diverges stronger than a massless particle pole. The numerical solutions are compared with recent lattice data for these propagators. The running coupling of the renormalization scheme approaches a fixed point, ${\alpha }_c\simeq 9.5$, in the infrared.

Comments: 4 pages, 2 figures, Revtex; revised version accepted for publication in Physical Review Letters