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We investigate the chiral and the deconfinement transition within theframework of Dyson-Schwinger equations using quenched lattice data for thetemperature dependent gluon propagator as input. We extract corresponding orderparameters from the Landau gauge quark propagator with U(1)-valued boundaryconditions. We study the chiral transition using the conventional quarkcondensate, whereas for the deconfinement transition we determine the dualcondensate ('dressed Polyakov loop'). In addition we consider an alternativeorder parameter for deconfinement, the dual scalar quark dressing function. Asa result we find almost the same transition temperatures for the chiral anddeconfinement transitions.

Dual order parameters and the deconfinement transition