论文标题
受QCD启发的PION：Nakanishi和Light-Front积分表示
Pion inspired by QCD: Nakanishi and Light-Front Integral Representations
论文作者
论文摘要
使用Nakanishi积分表示探索了Minkowski空间中的PION结构。基于穿着Quarks的Kallen-Lehmann表示，为Pseudo-Scalar $π-Q \ bar q $ dertex提供了轴向alsatz，为Pion Bethe-Salpeter振幅开发了一个通用框架。 Nakanishi的重量函数是针对与涉及光谱密度的Dirac Spinor空间中不同操作员底座中不同操作员底部的斜骨盐振幅分解相关的标量振幅得出的。该方法应用于斜骨盐振幅的分析模型，该模型与Landau量规晶格QCD结果结合使用，用于在太空样动量下夸克质量的质量。从Nakanishi积分表示中，计算了几个可观察的可观测值，例如衰减常数，价概率的自旋分解，从光额波函数的价值分量的纵向和横向动量分布。
The pion structure in Minkowski space is explored using the Nakanishi integral representation. A general framework is developed for the pion Bethe-Salpeter amplitude based on the Kallen-Lehmann representation of the dressed quarks with an ansatz for the pseudo-scalar $π-q\bar q$ vertex fulfilling the axial Ward-Takahashi identity. The Nakanishi weight functions are derived for the scalar amplitudes associated with the decomposition of the pion Bethe-Salpeter amplitude in different operator bases in the Dirac spinor space in terms of the involved spectral densities. The approach is applied to an analytical model of the pion Bethe-Salpeter amplitude, which is combined with Landau gauge lattice QCD results for the quark running mass at space-like momentum. From the Nakanishi integral representation several pion observables were calculated, such as the decay constant, the spin decomposition of the valence probabilities, longitudinal and transverse momentum distributions from the valence component of the light-front wave function.
