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arXiv 1901.03293hep-phhep-lathep-th
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强磁场中有限温度和化学势下SU（3）Polyakov线性西格玛模型的手征相结构和16介子态

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

Abdel Nasser Tawfik, Abdel Magied Diab, T. M. Hussein

备注：
20 pages, 7 figures, 2 tables, accepted for publication in CPC
发表信息：
Chinese Physics C, Vol. 43, No. 3 (2019) 034103
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摘要：

利用SU（$3$）Polyakov线性西格玛模型（PLSM），在平均场近似下研究了赝标量（$J^{pc}=0^{-+}$）、标量（$J^{pc}=0^{++}$）、矢量（$J^{pc}=1^{--}$）和轴矢量（$J^{pc}=1^{++}$）介子态的手征相结构及其对温度、化学势和磁场的依赖性.首先确定了热介质、稠密介质（有限化学势）和有限磁场中手征（非）奇异夸克凝聚$σ_l$和$σ_s$以及相应的解禁闭序参量$ϕ$和$ϕ^*$。分析了以{ \it玻色子}松原最低频率归一化的九介子态的温度和化学势特性。我们注意到所有的归一化介子质量在不同的{PDMATHAMV临界}温度下变得与温度无关。我们观察到，手性和解除禁闭相变移到较低的{ \it准临界}温度与增加化学势和磁场。因此，我们得出结论，磁场似乎有几乎相同的效果，化学势，特别是在加速相变，即逆磁催化。我们还发现，增加化学势增强质量简并的各种介子的质量，而增加磁场似乎降低了临界化学势，在那里的手征相变发生。我们的质谱计算与最近的PDG汇编和PNJL，晶格QCD计算，QMD/UrQMD模拟一致。

英文摘要：

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, $σ_l$ and $σ_s$ and the corresponding deconfinement order parameters, $ϕ$ and $ϕ^*$, 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.

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