What the Infrared Behavior of QCD Green Functions can tell us about Confinement in the Covariant Gauge

Details What the Infrared Behavior of QCD Green Functions can tell us about Confinement in the Covariant Gauge What the Infrared Behavior of QCD Green Functions can tell us about Confinement in the Covariant Gauge

2000-09-19

arxiv.org/abs/hep-ph/0009219v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 Pages, 7 Figures, LaTeX2.09, invited talk presented by L. v. Smekal at ``Quark Confinement and the Hadron Spectrum IV'', Vi

Scientific paper

We review aspects of confinement in the covariant and local description of QCD and discuss to what extend our present knowledge of the infrared behavior of QCD Green functions can support this description. In particular, we emphasize: the positivity violations of transverse gluon and quark states, the Kugo-Ojima confinement criterion, and the conditions necessary to avoid the decomposition property for colored clusters. We summarize how these issues relate to the infrared behavior of the propagators in Landau gauge QCD as extracted from solutions to truncated Dyson-Schwinger equations and lattice simulations.

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