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Chiral quark models with non-local covariant separable interactions at finitetemperature and chemical potential are investigated. We develop a formalism inwhich the different quark properties are evaluated taking into account theanalytic structure of the quark propagator. In this framework we study thechiral restoration phase transition for several definite non-local regulators,including that arising within the instanton liquid picture. We find that in allcases the chiral transition is of first order for low values of T, turning intoa smooth crossover at a certain "end point". Using model parameters which leadto the physical pion mass and decay constant, we find for the position of this"end point" the values (T_E, mu_E) approx. (60-70, 180-210) MeV. We alsodiscuss the special relevance of the first poles of the quark propagator.Comment: 14 pages incl. 11 eps figures. New figures and related comments  added. To be published in Phys Rev

Chiral quark models with nonlocal separable interactions at finite temperature and chemical potential