  The properties of the high-temperature phase of Yang-Mills theory in Landau
gauge are investigated by extending an earlier study on the
infinite-temperature limit to finite temperatures. To this end the
Dyson-Schwinger equations for the propagators of the gluon and the
Faddeev-Popov ghost are solved analytically in the infrared and numerically at
non-vanishing momenta. Gluons, polarized transversely with respect to the heat
bath are found to comply with the Gribov-Zwanziger and the Kugo-Ojima scenario,
while longitudinally polarized gluons are screened. Therefore the
high-temperature phase is strongly interacting. It is furthermore conjectured
that Yang-Mills theory undergoes a first-order phase transition. Indications
are found that at high temperatures the thermodynamic properties are nearly
those of an ideal gas, although long-range interactions prevail.
