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arXiv · hep-ph/9705242

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

Lorenz von Smekal·Andreas Hauck·Reinhard Alkofer
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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, $α_c \simeq 9.5$, in the infrared.

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Lorenz von Smekal, Andreas Hauck, Reinhard Alkofer. 1997-09-16. The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD. https://doi.org/10.1103/physrevlett.79.3591

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