Nontopological Soliton in the Polyakov Quark Meson Model

Abstract

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 $T\le T_{\chi }^c$ 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 $T\le T_d^c$,the energy of the soliton $M_N$ is less than the energy of the three free constituent quarks $3M_q$. As $T>T_d^c$, 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 $\mu$ plane. We notice that two critical temperatures always satisfy $T_d^c\le T_{\chi }^c$. Finally, we present and compare the result of thermodynamic pressure at zero chemical potential with lattice data.

17 pages, 9 figures, Accepted for publication in Physical Review C. arXiv admin note: text overlap with arXiv:1301.6227

References in corpus (11)

• The Phase Structure of the Polyakov--Quark-Meson Model
• The phase structure of the Polyakov--quark-meson model beyond mean field
• On the phase structure and thermodynamics of QCD
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Soliton solutions of the improved quark mass density-dependent model at finite temperature
• Exploring criticality in the QCD-like two quark flavour models
• The Friedberg-Lee model at finite temperature and density
• Chiral soliton model at finite temperature and density
• Modification of nucleon properties in nuclear matter and finite nuclei
• Nucleon Properties in the Quantized Linear Sigma Model at Finite Temperature and Chemical Potential
• The baryon mass calculation in the chiral soliton model at finite temperature and density

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