夹点技术中的QCD运行电荷及其RGI三胶子顶点母体
The QCD running charge and its RGI three-gluon vertex parent in the Pinch Technique
摘要：
我们简要回顾了捏点技术（PT）的基本扩展，该技术产生重正化群不变（RGI）格林函数，称为PT-RGI。这些也是独立于规范和过程的，显示了维度的转变，并且是物理过程的骨架扩展的自然成分。由于动力学产生的胶子质量，所有PT-RGI格林函数都是IR有限的。接下来，我们从PT的无鬼沃德恒等式中展示了如何从全PT-RGI三胶子顶点恢复传统的运行电荷，这取决于三个动量。通常的运行电荷，只依赖于一个动量，不一定是这个PT-RGI三胶子顶点的好替代品。我们表明，在一个穿着的循环一个很好的近似的全穿着的循环PT-RGI三胶子顶点，无论是在紫外线和红外线，来自输入传播和顶点是免费的，除了传播是修改通过引入一个（常数）质量项。最后，我们说明这些想法在更简单的情况下，标量理论与立方相互作用在d=6，这是渐近自由。
英文摘要：
We give a brief review of an elementary extension of the Pinch Technique (PT) that yields renormalization-group invariant (RGI) Green's functions, called PT-RGI. These are also gauge- and process-independent, show dimensional transmutation, and are the natural ingredients of skeleton expansions of physical processes. Because of a dynamically-generated gluon mass all PT-RGI Green's functions are IR-finite. Next we show from the ghost-free Ward identities of the PT how the conventional running charge is recovered from the full PT-RGI three-gluon vertex, which depends on three momenta. The usual running charge, depending on only one momentum, is not necessarily a good substitute for this PT-RGI three-gluon vertex. We show that at one dressed loop a good approximation to the full dressed loop PT-RGI three-gluon vertex, both in the UV and in the IR, comes from input propagators and vertices that are free, except that the propagator is modified by introducing a (constant) mass term. Finally,we illustrate these ideas in the much simpler context of a scalar theory with cubic interactions in d=6, which is asymptotically free.
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