论文标题

带有nakanishi积分代表的茶模型

Pion model with the Nakanishi Integral Representations

论文作者

Moita, R. M., de Melo, J. P. B. C., Frederico, T., de Paula, W.

论文摘要

在目前的工作中,我们根据Bethe-Salpeter(BSA)幅度的分析表达描述了触发模型,并结合了晶格QCD计算中的某些成分。此处使用的运行夸克质量函数$ m(p^2)$很好地重现了晶格QCD计算的结果。运行夸克质量函数的分析形式包含一个时间样极,这意味着在穿着的夸克传播器的时间样极中。这样的形式允许构建重量功能,即$ g_i(γ,z)$,用于每个标量函数的nakanishi积分表示,$χ_{i}(k,p)$,出现在伯特 - 层压器振幅的分解中,以狄拉克运算符的角度来获得dirac操作员,这些标量膨胀也可以通过pion valence wire fulige fulige fulige fuligence。

In the present work, we describe a model for the pion based on an analytic expression for the Bethe-Salpeter (BSA) amplitude, combined with some ingredients from Lattice QCD calculations. The running quark mass function $M (p^2)$, used here, reproduces well the results of Lattice QCD calculations. The analytical form of the running quark mass function contains a single time-like pole, which implies in time-like poles of the dressed quark propagator. Such a form allows to build the weight functions, $G_i(γ,z)$, for the Nakanishi integral representation of each scalar function, $χ_{i}(k,p)$, appearing in the decomposition of the Bethe-Salpeter amplitude in terms of Dirac operators, Such scalar amplitudes can also be used to obtain the pion valence light-front wave function.

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