标题： 用线性sigma模型在m_pi-m_K平面映射手征对称性的第一阶有限温度恢复的边界 显示英文标题

标题： Mapping the boundary of the first order finite temperature restoration of chiral symmetry in the m_pi-m_K--plane with a linear sigma model

摘要： 在轻夸克质量区域的\(m_\pi-m_K\)-平面内，借助SU\(_L(3)\times\)SU\(_R(3)\)线性sigma模型(LSM)，绘制了三味QCD的相图。 基于三味手征微扰理论(U(3) ChPT)，提出了一个新颖的零温参数化方法，用于描述远离物理点处耦合常数对质量的依赖关系。 通过应用优化微扰理论，构建了一圈热力学。 标量谱对赝标量质量的未知依赖性限制了预测的准确性。 结果与格点数据以及使用其他有效手征模型变体的类似研究进行了比较。 对于所有\(m_K\)值\(\leq\)800 MeV，pion质量的临界值低于65 MeV。 沿对角线\(m_\pi=m_K\)，我们估计\(m_\text\{crit\}(\text\{diag\})=40\pm20\) MeV。 显示英文摘要

摘要： The phase diagram of the three-flavor QCD is mapped out in the low mass corner of the m_pi-m_K--plane with help of the SU_L(3) x SU_R(3) linear sigma model (LSM). A novel zero temperature parametrization is proposed for the mass dependence of the couplings away from the physical point based on the the three-flavor chiral perturbation theory (U(3) ChPT). One-loop thermodynamics is constructed by applying optimized perturbation theory. The unknown dependence of the scalar spectra on the pseudoscalar masses limitates the accuracy of the predictions. Results are compared to lattice data and similar investigations with other variants of effective chiral models. The critical value of the pion mass is below 65 MeV for all m_K values <= 800 MeV. Along the diagonal m_pi=m_K, we estimate m_crit(diag)=40+-20 MeV.