In this work we compute the axion mass and, from this (exploiting a well-known relation), we also derive an expression for the QCD topological susceptibility in the finite-temperature case, both below and above the chiral phase transition at $T_c$, making use of a chiral effective Lagrangian model which includes the axion, the scalar and pseudoscalar mesons, and implements the $U(1)$ axial anomaly of the fundamental theory. We also provide a numerical estimate of the topological susceptibility at $T=0$ (in the physical case of three light quark flavors) and discuss the question of the temperature and quark-mass dependence of the topological susceptibility in the high-temperature regime.

中文翻译：

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有限温度下手性有效拉格朗日模型中的QCD轴突和拓扑敏感性

在这项工作中，我们计算了轴突质量，并从中（利用了一个众所周知的关系），我们导出了在有限温度情况下，在手性相变以下和之上的QCD拓扑磁化率的表达式。 ${Ť}_C$，利用手性有效拉格朗日模型，该模型包括轴突，标量和拟标量介子，并实现了 $ü（\mathrm{1个}）$基本理论的轴向异常。我们还提供了对拓扑敏感性的数值估计$Ť=0$ （在三种轻夸克口味的物理情况下），并讨论高温条件下温度和夸克质量对拓扑敏感性的依赖关系。