横Ward-Green-Takahashi恒等式的实用推论
Practical corollaries of transverse Ward-Green-Takahashi identities
摘要：
规范原理是建立标准模型的基础。费米子-规范-玻色子耦合是不可避免的结果，也是可观测现象的主要决定因素。描述这种耦合的顶点在微扰论中是简单的，然而强相互作用的束缚态的存在保证了模型中的许多现象是非微扰的。因此，理解动力学如何修饰顶点，从而从根本上改变费米子-规范-玻色子相互作用的外观是至关重要的。我们考虑了缀饰费米子与阿贝尔规范玻色子的耦合，并描述了一个统一的处理和解决方案，熟悉的纵向Ward-Green-Takahashi恒等式及其不太知名的横向对应物。新的后果的修饰费米子规范玻色子顶点曝光。
英文摘要：
The gauge principle is fundamental in formulating the Standard Model. Fermion--gauge-boson couplings are the inescapable consequence and the primary determining factor for observable phenomena. Vertices describing such couplings are simple in perturbation theory and yet the existence of strong-interaction bound-states guarantees that many phenomena within the Model are nonperturbative. It is therefore crucial to understand how dynamics dresses the vertices and thereby fundamentally alters the appearance of fermion--gauge-boson interactions. We consider the coupling of a dressed-fermion to an Abelian gauge boson, and describe a unified treatment and solution of the familiar longitudinal Ward-Green-Takahashi identity and its less well known transverse counterparts. Novel consequences for the dressed-fermion--gauge-boson vertex are exposed.
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