The high-temperature phase of Landau-gauge Yang-Mills theory
Gesellschaft für Schwerionenforschung mbH, Planckstraße 1, 64291, Darmstadt, Germany
2 Institute for Nuclear Physics, Darmstadt University of Technology, Schloßgartenstraße 9, 64289, Darmstadt, Germany
3 Institute of Physics, University of Graz, Universitätsplatz 5, 8010, Graz, Austria
* e-mail: Axel.Maas@Physik.TU-Darmstadt.de
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.
© Springer-Verlag, 2005