论文标题
功能性形式主义中锥形电磁形态的时尚行为
Timelike behavior of the pion electromagnetic form factor in the functional formalism
论文作者
论文摘要
在使用功能形式主义的使用中计算了乳头的电磁象形。我们为最小的标准模型绿色功能集合制定了不可或缺的表示形式，并得出了两个口味qCD isspin lim lim $ m_u = m_d $中的外形的分散关系。我们使用穿着的夸克传播器作为Minkowski空间和Dyson-Schwinger方程形式主义中的间隙方程式获得的形式，以首次得出该形式的近似色散关系。我们评估了间距类别以及提出的形式主义中的时间动力的形状。 在Quark-Photon载体的矢量Bethe-Salpeter方程中证明了一种新的Nakanishi样形式的积分表示形式，并具有梯形 - 钻头内核。量规技术证明是顶点整个结构的一部分。 在此处介绍的分析方法中，这表明横截面中的大量$ρ$ -Meson Peak $ e^+e^ - \rightArrowπ^+π^ - $由QED/QCD的规格不变性，即通过量规技术构建的Quark-Photon顶点。这种近似自然地解释了$ρ$ -Meson Peak的宽阔形状。
The electromagnetic form factor of the pion is calculated within the use of functional formalism. We develop integral representation for the minimal set of Standard Model Green's functions and derive the dispersion relation for the form factor in the two flavor QCD isospin limit $m_u=m_d$. We use the dressed quark propagator as obtained form the gap equation in Minkowski space and within the Dyson-Schwinger equations formalism to derive the approximate dispersion relation for the form factor for the first time. We evaluate the form factor for the spacelike as well as for the timelike momentum in the presented formalism. A new Nakanishi-like form of integral representation is proved on the basis of the vector Bethe-Salpeter equation for the quark-photon vector with a ladder-rainbow kernel. The Gauge Technique turns out to be a part of the entire structure of the vertex. In the analytic approach presented here, it is shown that the a large amount of the $ρ$-meson peak in the cross section $e^+e^-\rightarrow π^+π^-$ is governed by the gauge invariance of QED/QCD, i.e. by Gauge Technique constructed quark-photon vertex. This approximation naturally explains the broad shape of the $ρ$-meson peak.
