Nontopological Soliton in the Polyakov Quark Meson Model

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Within a mean field approximation, we study a nontopological soliton solution of the Polyakov quark-meson model in the presence of a fermionic vacuum term with two flavors at finite temperature and density. The profile of the effective potential exhibits a stable soliton solution below a critical temperature T≤ Tχᶜ for both the crossover and the first-order phase transitions, and these solutions are calculated here with appropriate boundary conditions. However, it is found that only if T≤ Tᶜd,the energy of the soliton Mₙ is less than the energy of the three free constituent quarks 3Mq. As T> Tᶜd, there is an instant delocalization phase transition from hadron matter to quark matter. The phase diagram together with the location of a critical end point (CEP) has been obtained in T and μ plane. We notice that two critical temperatures always satisfy Tᶜd≤ Tχᶜ. Finally, we present and compare the result of thermodynamic pressure at zero chemical potential with lattice data.