Analytic structure of the lattice Landau gauge gluon and ghost propagators
Analytic structure of the lattice Landau gauge gluon and ghost propagators
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晶格朗道规范胶子和鬼传播子的解析结构
DOI：
10.1103/physrevd.102.114518
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发表时间：
2020
影响因子：
5
通讯作者：
P. Silva
中科院分区：
文献类型：
--
作者：
Alexandre F. Falcão;O. Oliveira;P. Silva
从格朗道规范胶子和鬼传播器数据开始，我们使用一系列 Pade 近似值，识别每个近似值的极点和零点，并将它们映射到传播器的分析结构中。对于朗道规范胶子传播器，Pade 分析确定了一对复共轭极点和沿欧几里德 $p^2$ 动量负实轴的分支切割。对于朗道规范幽灵传播器，Pade 分析显示 $p^2 = 0$ 处有一个单极点，并且还沿着欧几里得 $p^2$ 动量的负实轴进行分支切割。该方法给出了胶子复合极的精确估计，这与文献中发现的其他估计非常吻合。对于分支切割，Pade 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 Pade 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 Pade 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 Pade 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 Pade analysis gives, at least, a rough estimate of the corresponding branch point.