Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-05-06
Phys.Rev.Lett.79:3591-3594,1997
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 2 figures, Revtex; revised version accepted for publication in Physical Review Letters
Scientific paper
10.1103/PhysRevLett.79.3591
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.
Alkofer Reinhard
Hauck Andreas
Smekal Lorenz von
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