标题： 在多Polyakov圈增强的Nambu-Jona-Lasinio模型中轴子的介质性质 显示英文标题

标题： In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model

摘要： 我们估算轴子的性质，即其质量、拓扑易位性和自耦合，均基于在有限温度和夸克化学势下的波利亚科夫环增强的 Nambu-Jona-Lasinio (PNJL) 模型框架内。PNJL 模型中，夸克同时与手征凝聚体和背景时间量子色动力学 (QCD) 规范场耦合，包含了 QCD 相变的两个重要特征，即去禁闭和手征对称性恢复。在 PNJL 模型中，波利亚科夫环在临界温度附近起着重要作用。我们已经展示了在 PNJL 模型中计算得到的轴子性质与使用 Nambu-Jona-Lasinio (NJL) 模型得到的结果存在显著差异。我们发现轴子的质量及其自耦合都与手征相变以及禁闭-去禁闭相变相关联。我们也估算了有限化学势下的轴子性质。在 QCD 相变温度和/或夸克化学势下，轴子质量和其自耦合也发生了显著变化。由于 PNJL 模型包括费米子部分和规范场，它可以对高温高密 QCD 介质中的轴子性质（即其质量和自耦合）给出可靠的估计。只要有可能，我们还将其结果与格点 QCD 结果进行了比较。 显示英文摘要

摘要： We estimate the axion properties i.e. its mass, topological susceptibility and the self-coupling within the framework of Polyakov loop enhanced Nambu-Jona-Lasinio (PNJL) model at finite temperature and quark chemical potential. PNJL model, where quarks couple simultaneously to the chiral condensate and to a background temporal quantum chromodynamics (QCD) gauge field, includes two important features of QCD phase transition, i.e. deconfinement and chiral symmetry restoration. The Polyakov loop in PNJL model plays an important role near the critical temperature. We have shown significant difference in the axion properties calculated in PNJL model compared to the same obtained using Nambu-Jona-Lasinio (NJL) model. We find that both the mass of the axion and its self-coupling are correlated with the chiral transition as well as the confinement-deconfinement transition. We have also estimated the axion properties at finite chemical potential. Across the QCD transition temperature and/or quark chemical potential axion mass and its self-coupling also changes significantly. Since the PNJL model includes both the fermionic sector and the gauge fields, it can give reliable estimates of the axion properties, i.e. it's mass and the self-coupling in a hot and dense QCD medium. We also compare our results with the lattice QCD results whenever available.