Dresden 2013 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 30: Schwerionenkollisionen und QCD Phasen

HK 30.8: Talk

Tuesday, March 5, 2013, 16:00–16:15, HSZ-204

Effective gluon potential and Yang-Mills thermodynamics — •Chihiro Sasaki¹ and Krzysztof Redlich² — ¹Frankfurt Institute for Advanced Studies (FIAS), Ruth-Moufang-Straße 1, D-60438 Frankfurt, Germany — ²Institute of Theoretical Physics, University of Wroclaw,PL-50204 Wrocław,Poland

We show that the Polyakov-loop potential can be derived, using a field theoretical methods, directly from the SU(3) Yang-Mills theory. A class of the Polyakov-loop effective potentials used so far in literature appears as limiting cases of our potential. We deduce the correspondence of U(L) to the strong-coupling expansion, of which the relevant coefficients of the gluon energy distribution are specified solely by characters of the SU(3) group.

At high temperatures the derived gluon potential exhibits the correct asymptotic behavior, whereas at low temperatures, it disfavors gluons as appropriate dynamical degrees of freedom. To quantify the Yang-Mills thermodynamics in a confined phase, we propose a hybrid approach which matches the effective gluon potential to the one of glueballs constrained by the QCD trace anomaly in the context of dilaton fields.

The work of C. S. has been supported in part by the Hessian LOEWE initiative through the Helmholtz International Center for FAIR (HIC for FAIR).