Abstract
We study the NJL model with the Polyakov loop in the SU(2)-color case for the EOS of quark-hadron matter at finite temperature and density. We consider the spontaneous chiral symmetry breaking and the diquark condensation together with the behavior of the Polyakov loop for the phase diagram of quark-hadron matter. We discuss the spectrum of mesons and diquark baryons (boson) at finite temperature and density. We derive also the linear sigma model Lagrangian for diquark baryon and mesons.
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