arXiv 0911.43722009-11-23hep-ph

非微扰格林函数与QCD有效电荷

Non-perturbative Green's functions and the QCD effective charge

Arlene C. Aguilar

备注：: 12 pages, 8 figures. Talk presented at the International Workshop on QCD Green's Functions, Confinement, and Phenomenology - QCD-TNT09, September 07 - 11 2009, ECT* Trento, Italy
发表信息：: PoS QCD-TNT09:001,2009

摘要：

利用由Schwinger-Dyson方程（SDEs）得到的各种QCD格林函数的非微扰解，我们研究了两种形式的QCD有效荷。第一个是从胶子自能的箍缩技术得到的，第二个是从鬼胶子顶点得到的。尽管它们的积木性质不同，但这两个有效电荷在整个动量范围内几乎是相同的，这是由于鬼装函数与格林函数的两个形状因子之间的基本一致性，这在PT-BFM形式主义中具有核心重要性。在这次演讲中，我们概述了如何从上述格林函数的SDES中导出这个关键的身份。重整化过程中，保持这个身份的有效性进行了详细讨论。最重要的是，我们表明，由于胶子传播子的红外有限性，QCD电荷与任一定义在深红外冻结，与理论和唯象的预期。

英文摘要：

Using as ingredients the non-perturbative solutions of various QCD Green's function obtained from Schwinger-Dyson equations (SDEs), we study two versions of the QCD effective charge. The first one obtained from the pinch technique gluon self-energy, and the second from the ghost-gluon vertex. Despite the distinct nature of their buildings blocks, the two effectives charges are almost identical in the entire range of momenta, due to a fundamental identity relating the ghost dressing function with the two form factors of Green's function, which is of central importance in the PT-BFM formalism. In this talk, we outline how to derive this crucial identity from the SDEs of the aforementioned Green's functions. The renormalization procedure that preserves the validity of this identity is discussed in detail. Most importantly, we show that due to the infrared finiteness of the gluon propagator, the QCD charge obtained with either definition freezes in the deep infrared, in agreement with theoretical and phenomenological expectations.

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