Ward-Green-Takahashi恒等式与轴向量顶点
Ward-Green-Takahashi identities and the axial-vector vertex
摘要：
色单轴矢量顶点在理解动力学手征对称性破缺和众多强子弱相互作用中起着关键作用，但与模型无关的信息却很少。因此，我们使用纵向和横向Ward-Green-Takahashi（WGT）身份，连同运动学约束，以改善这种情况，并揭示轴向顶点的新功能：其中，Ward样身份的元素在横向片的顶点，补充和揭示新的身份确定以前的组件在其纵向部分。这样的代数结果验证通过解决方案的Bethe-Salpeter方程的轴顶点使用两个实质上不同的内核相关的戴森-Schwinger方程。这些解决方案还提供了一些见解，提出了一个实用的轴向矢量顶点的Anterior。
英文摘要：
The colour-singlet axial-vector vertex plays a pivotal role in understanding dynamical chiral symmetry breaking and numerous hadronic weak interactions, yet scant model-independent information is available. We therefore use longitudinal and transverse Ward-Green-Takahashi (WGT) identities, together with kinematic constraints, in order to ameliorate this situation and expose novel features of the axial vertex: amongst them, Ward-like identities for elements in the transverse piece of the vertex, which complement and shed new light on identities determined previously for components in its longitudinal part. Such algebraic results are verified via solutions of the Bethe-Salpeter equation for the axial vertex obtained using two materially different kernels for the relevant Dyson-Schwinger equations. The solutions also provide insights that suggest a practical Ansatz for the axial-vector vertex.
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