https://doi.org/10.1140/epjc/s10052-010-1343-1
Regular Article - Theoretical Physics
Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
1
Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 9, 64289, Darmstadt, Germany
2
GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstr. 1, 64291, Darmstadt, Germany
3
Institut für Physik, Karl-Franzens Universität Graz, Universitätsplatz 5, 8010, Graz, Austria
* e-mail: jens.mueller@physik.tu-darmstadt.de
Received:
11
March
2010
Revised:
16
April
2010
Published online:
9
June
2010
We study a gauge-invariant order parameter for deconfinement and the chiral condensate in SU(2) and SU(3) Yang–Mills theory in the vicinity of the deconfinement phase transition using the Landau gauge quark and gluon propagators. We determine the gluon propagator from lattice calculations and the quark propagator from its Dyson–Schwinger equation, using the gluon propagator as input. The critical temperature and a deconfinement order parameter are extracted from the gluon propagator and from the dependency of the quark propagator on the temporal boundary conditions. The chiral transition is determined using the quark condensate as order parameter. We investigate whether and how a difference in the chiral and deconfinement transition between SU(2) and SU(3) is manifest.
© Springer-Verlag / Società Italiana di Fisica, 2010
