The hadronic vacuum polarization function $$\Pi _h$$ Π h for two light flavors is computed on the entire domain of spacelike and timelike momenta using a framework of Dyson–Schwinger equations. The analytical continuation of the function $$\Pi _h$$ Π h is based on the utilization of the Gauge Technique with the entry of QCD Green’s functions determined from generalized quark spectral functions. For the first time, the light quark spectral functions are extracted from the solution of the gap equation for the quark propagator. The scale is set up by the phenomena of dynamical chiral symmetry breaking, which is a striking feature of low energy QCD.

中文翻译：

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夸克谱函数和强子真空极化在闵可夫斯基空间中的应用

使用戴森-施温格方程的框架在类时空动量的整个域上计算两种光味的强子真空极化函数 $$\Pi _h$$ Π h。函数 $$\Pi _h$$ Π h 的解析延拓是基于对规范技术的使用，以及从广义夸克谱函数确定的 QCD 格林函数的输入。首次从夸克传播子的间隙方程的解中提取光夸克谱函数。尺度是由动力学手征对称破缺现象建立的，这是低能 QCD 的一个显着特征。