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.Comment: 10 Pages, 7 Figures, LaTeX2.09, invited talk presented by L. v.
Smekal at ``Quark Confinement and the Hadron Spectrum IV'', Vienna, July 4-8,
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