  In this article we study the finite temperature and chemical potential
effects in a nonlocal Nambu-Jona-Lasinio (nNJL) model in the real time
formalism. We make the usual Wick rotation to get from imaginary to real time
formalism. In doing so, we need to define our regulator in the complex plane
q^2. This deffinition will be crucial in our later analysis. We study the poles
in the propagator of this model and conclude that only some of them are of
interst to us. Once we have a well defined model in real time formalism, we
look at the chiral condensate to find the temperature at which chiral symmetry
restoration will occur. We find a second order phase transition that turns to a
first order one for high enough values of the chemical potential.
