论文标题
在Minkowski和Euclidean空间中计算出的Pion可观察物，用于夸克传播器
Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
论文作者
论文摘要
我们研究了两个夸克 - 刺激物meromorphicAnsätze，可以接受欧几里得空间和Minkowski时空中计算之间的明确联系。连接是通过在动量空间中修改的灯芯旋转来建立的，在该空间中，沿着假想轴的集成轮廓被充分变形。以前在文献中提出了Ansätze，并适合欧几里得晶格QCD数据。普遍的脉冲近似用于计算触发过渡形式和电磁形颜色，从而纠正了较早的结果。还计算了斜衰变常数和分布幅度。后者用于推断形式因素的渐近行为。将这种渐近行为与直接从广义脉冲近似获得的渐近行为进行了比较，并指出了差异的原因。
We study two quark--propagator meromorphic Ansätze that admit clear connection between calculations in Euclidean space and Minkowski spacetime. The connection is established through a modified Wick rotation in momentum space, where the integration contour along the imaginary axis is adequately deformed. The Ansätze were previously proposed in the literature and fitted to Euclidean lattice QCD data. The generalized impulse approximation is used to calculate the pion transition form factor and electromagnetic form factor, correcting an earlier result. The pion decay constant and distribution amplitude are also calculated. The latter is used to deduce the asymptotic behavior of the form factors. Such an asymptotic behavior is compared with those obtained directly from the generalized impulse approximation and the causes of differences are pointed out.
