The High-Temperature Phase of Landau-Gauge Yang-Mills Theory

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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15 pages, 6 figures. Two paragraphs modified for clarification, some references added, three minor changes; in v3: typos corre

Scientific paper

10.1140/epjc/s2005-02279-8

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.

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