论文标题
晶格Landau仪表gluon和幽灵传播器的分析结构
The analytic structure of the lattice Landau gauge gluon and ghost propagators
论文作者
论文摘要
从Lattice Landau量规格和幽灵传播器数据开始，我们使用一系列padé近似物，识别每个近似值的电线杆和零，然后将它们映射到传播器的分析结构中。对于Landau量规格的传播器，PadéAnalysis识别一对复杂的共轭电线杆和一个沿欧几里得$ P^2 $ MONMA的负的真实轴切割的分支。对于Landau仪表幽灵传播器，PADé分析显示了一个$ P^2 = 0 $的单极，并且沿欧几里得$ P^2 $ MONMA的负的真实轴线也切出一个分支切割。该方法给出了GLUON复合杆的精确估计，这与文献中发现的其他估计非常吻合。对于分支，切割PADé分析至少给出了相应分支点的粗略估计。
Starting from the lattice Landau gauge gluon and ghost propagator data we use a sequence of Padé approximants, identify the poles and zeros for each approximant and map them into the analytic structure of the propagators. For the Landau gauge gluon propagator the Padé analysis identifies a pair of complex conjugate poles and a branch cut along the negative real axis of the Euclidean $p^2$ momenta. For the Landau gauge ghost propagator the Padé analysis shows a single pole at $p^2 = 0$ and a branch cut also along the negative real axis of the Euclidean $p^2$ momenta. The method gives precise estimates for the gluon complex poles, that agree well with other estimates found in the literature. For the branch cut the Padé analysis gives, at least, a rough estimate of the corresponding branch point.
