$T \times \mu$ phase diagram from a fractal NJL model

Abstract

We propose a $\mu$-dependent coupling for a fractal effective model (FNJL) to make the results for the phase diagram compatible with the experimental data and lattice QCD calculations. The $\mu$-dependence of the coupling, which accounts for gluon effects, is obtained by fitting the lattice QCD results for the pseudo-critical temperature with the fractal model. We then use the new effective coupling in order to compute the dynamical mass, the quark condensate, the thermal susceptibility and, finally, the $T\times\mu$ phase diagram. We consider both extensive and non-extensive statistics, and with a slight variation in the $\mu$-dependent coupling parameters we provide a single result for our model which is able to describe incredibly well the data from STAR, considering the simplicity of the effective model.