  We investigate the phase structure of QCD at finite temperature and chemical
potential by solving a coupled set of truncated Dyson-Schwinger equations for
the quark and gluon propagator. In contrast to previous calculations we take
into account the full back-reaction of the quarks onto the Yang-Mills sector
and we include the effects of strange quarks. We discuss the resulting thermal
mass of the unquenched gluon propagator and extract order parameters for the
chiral and deconfinement transition from the quarks. Our result for the
temperature dependence of the quark condensate at zero chemical potential
agrees well with corresponding lattice calculations. We determine the phase
diagram at finite chemical potential and find a potential critical endpoint at
(mu_q,T) = (190,100) MeV.
