论文标题
手性对称恢复和热$ f_0（500）$状态
Chiral symmetry restoration and the thermal $f_0(500)$ state
论文作者
论文摘要
我们分析了热$ F_0（500）$状态或手性对称性修复的$σ$扮演的角色。包括该状态的光谱特性的温度更正，以便更好地描述过渡区域周围的标量易感性$χ_s$。我们使用线性sigma模型来建立$χ_s$和$σ$繁殖器之间的关系，该关系用作测试$ f_0（500）$ unterveseper自我能源饱和的方法的基准测试。在这种饱和方法中，当考虑到有限温度下单位化的手性扰动理论中的$ππ$散射极时，将获得手性转变周围$χ_s$的峰值。当考虑到低能量常数的不确定性时，该方法产生的结果符合晶格数据。这些不确定性和单位化方法用于检查此近似值的鲁棒性。最后，我们将讨论与拓扑敏感性及其与手性和$ u_a（1）$恢复有关的手性拉格朗日框架中的一些最新结果。
We analize the role played by the thermal $f_0(500)$ state or $σ$ in chiral symmetry restoration. The temperature corrections to the spectral properties of that state are included in order to provide a better description of the scalar susceptibility $χ_S$ around the transition region. We use the Linear Sigma Model to establish the relation between $χ_S$ and the $σ$ propagator, which is used as a benchmark to test the approach where $χ_S$ is saturated by the $f_0(500)$ inverse self-energy. Within such saturation approach, a peak for $χ_S$ around the chiral transition is obtained when considering the $f_0(500)$ generated as a $ππ$ scattering pole within Unitarized Chiral Perturbation Theory at finite temperature. That approach yields results complying with lattice data when the uncertainties of the low-energy constants are taken into account. Those uncertainties and the unitarization method are used to check the robustness of this approximation. Finally, we will discuss some recent results within the chiral lagrangian framework related to the topological susceptibility and its connection with chiral and $U_A(1)$ restoration.
