论文标题
Landau量规阳米尔斯在复杂的动量飞机上
Landau gauge Yang-Mills propagators in the complex momentum plane
论文作者
论文摘要
我们从戴森·舒林（Dyson-Schinginger）方程式中计算出复杂的动量平面中Landau Gauge Yang-Mills理论的穿着的Gluon和Ghost Expagors。为此，我们开发了直接计算的技术，因此不需要解决数学上错误的逆问题。我们提供了有关射线技术的详细说明，并讨论了一系列工具来监视数值计算的稳定性。在使用模型ANSAETZE的三点顶点和由于四点功能引起的效果的截断中，我们在复杂$ p^2 $平面的第二个象限的Gluon传播器中发现了奇异性。尽管事实证明，这种奇异性的位置非常依赖于三粘体顶点的模型，但对于所考虑的模型范围而言，它总是在复杂的动量中发生。
We calculate the dressed gluon and ghost propagators of Landau gauge Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger equations. To this end, we develop techniques for a direct calculation such that no mathematically ill-posed inverse problem needs to be solved. We provide a detailed account of the employed ray technique and discuss a range of tools to monitor the stability of the numerical calculation. Within a truncation employing model ansaetze for the three-point vertices and neglecting effects due to four-point functions, we find a singularity in the gluon propagator in the second quadrant of the complex $p^2$-plane. Although the location of this singularity turns out to be strongly dependent on the model for the three-gluon vertex, it occurs always at complex momenta for the range of models considered.
