Nontopological Soliton in the Polyakov Quark Meson Model

TL;DR

This paper investigates nontopological soliton solutions in the Polyakov quark-meson model at finite temperature and density, revealing phase transitions and comparing thermodynamic results with lattice data.

Contribution

It introduces a detailed analysis of soliton solutions within the Polyakov quark-meson model, including phase diagram and critical points, at finite temperature and density.

Findings

Stable soliton solutions exist below a critical temperature.

Soliton energy is less than three free quarks' energy below a certain temperature.

Thermodynamic pressure matches lattice data at zero chemical potential.

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 $T\leq T_{\chi}^c$ 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 $T\leq T^c_d$,the energy of the soliton $M_N$ is less than the energy of the three free constituent quarks $3M_q$. As $T> T^c_d$, 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 $T^c_d\leq T_{\chi}^c$. Finally, we present and compare the result of thermodynamic pressure at zero chemical potential with lattice data.