标题： 手征相结构和强磁场下有限温度和化学势下的SU(3) Polyakov线性-sigma模型中的十六个介子态 显示英文标题

标题： Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field

摘要： 在表征赝标量（$J^{pc}=0^{-+}$）、标量（$J^{pc}=0^{++}$）、矢量（$J^{pc}=1^{--}$）和轴矢量（$J^{pc}=1^{++}$）介子态的手性相结构及其对温度、化学势和磁场的依赖关系时，我们采用平均场近似下的SU($3$)波利akov线性σ模型（PLSM）。 我们首先确定手征（非）奇异夸克凝聚态，$\sigma_l$和$\sigma_s$以及相应的禁闭序参数，$\phi$和$\phi^*$，分别在热和密集（有限化学势）介质和有限磁场中。 以最低的{\it 无规的}马蒂巴频率归一化的九重态介子状态的温度和化学势特性进行了分析。 我们注意到，所有归一化的介子质量在不同的{\it 临界}温度下变得与温度无关。 我们观察到，随着化学势和磁场的增加，手征和禁闭相变被转移到较低的{\it 亚临界}温度。 因此，我们得出结论，磁场似乎具有与化学势几乎相同的效果，尤其是在加速相变方面，即反磁催化。 我们还发现，增加化学势会增强各种介子质量的质量简并性，而增加磁场似乎会降低发生手征相变的临界化学势。 我们的质量谱计算与最近的PDG汇编、PNJL、格点QCD计算和QMD/UrQMD模拟结果一致。 显示英文摘要

摘要： In characterizing the chiral phase-structure of pseudoscalars ($J^{pc}=0^{-+}$), scalars ($J^{pc}=0^{++}$), vectors ($J^{pc}=1^{--}$) and axial-vectors ($J^{pc}=1^{++}$) meson states and their dependence on temperature, chemical potential, and magnetic fields, we utilize SU($3$) Polyakov linear-sigma model (PLSM) in mean-field approximation. We first determine the chiral (non)strange quark condensates, $\sigma_l$ and $\sigma_s$ and the corresponding deconfinement order parameters, $\phi$ and $\phi^*$, respectively, in thermal and dense (finite chemical potential) medium and finite magnetic field. The temperature and the chemical potential characteristics of nonet meson states normalized to the lowest {\it bosonic} Matsubara frequencies are analyzed. We noticed that all normalized meson masses become temperature independent at different {\it critical} temperatures. We observe that the chiral and deconfinement phase transitions are shifted to lower {\it quasicritical} temperatures with increasing chemical potential and magnetic field. Thus, we conclude that the magnetic field seems to have almost the same effect as that of the chemical potential, especially on accelerating the phase transition, i.e. inverse magnetic catalysis. We also find that increasing chemical potential enhances the mass degeneracy of the various meson masses, while increasing the magnetic field seems to reduce the critical chemical potential, at which the chiral phase transition takes place. Our mass spectrum calculations agree well with the recent PDG compilations and PNJL, lattice QCD calculations, and QMD/UrQMD simulations.