Abstract
We analyze the standard two flavor version of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, in the strong coupling regime. Finite Nc effects are considered by means of the Optimized Perturbation Theory which adds a (1/Nc) 〈ψγ0ψ〉2 term to the thermodynamical potential. Then, scanning over the quark current mass values, we show that the theory can present two critical points when chiral symmetry is weakly broken. By mapping the first order transition region on the chemical potential-current mass plane we show that, for low chemical potentials, the first order region shrinks as μ increases but the behavior gets reversed at higher values leading to the back bending of the critical line. This result could help to conciliate the lattice results obtained by de Forcrand and Philipsen with model predictions.
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