We consider an effective lagrangian approach to the quark-hadron phase transition at both finite temperature T and finite baryon chemical potential μ. In addition to the pressure equilibrium point (Tc, μc), we find critical points (Tx, μx) in the phase diagram beyond which the hadron phase no longer exists. We find a substantial (model-dependent) region of super-heated hadron phase between (Tc, μc) and (Tx, μx). This may have important consequences for searches for quark matter in heavy-ion collisions.
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We would like to thank B. Campbell and J. Kapusta for useful discussions. K.A.O. would like to thank LAPP, where much of this work was done, for its hospitality. The work of K.A.O. was supported in part by DOE grant DE-AC02-83ER-40105 and by a Presidential Young Investigator Award.