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Phys. Rev. Lett. 79, 3591–3594 (1997)

Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD

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Lorenz von Smekal
Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

Andreas Hauck and Reinhard Alkofer
Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany

Received 6 May 1997; published in the issue dated 10 November 1997

A 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 momenta, whereas the ghost propagator diverges strongly. The numerical solutions are compared with recent lattice results. The running coupling approaches a fixed point, αc9.5, in the infrared.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.3591
DOI:
10.1103/PhysRevLett.79.3591
PACS:
12.38.Aw, 11.10.Gh