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arXiv 1404.4474hep-ph
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朗道规范中三胶子顶点的非微扰特征

Non-perturbative features of the three-gluon vertex in Landau gauge

Milan Vujinovic, Reinhard Alkofer, Gernot Eichmann, Richard Williams

摘要:

本文从朗道规范的Yang-Mills理论中的Dyson-Schwinger方程出发,计算了三胶子顶点。所有的张量结构被认为是自洽的和回耦合。在所选择的截断,两个回路图,以及图表包含格林函数以外的发散的被忽略。只有三胶子顶点被选为动力学的;其他的传播子和顶点函数被作为他们的戴森-施温格方程的单独解或由Anglesia提供。对于标度型和非标度型的解决方案,我们观察到,与其他研究一致,在非微扰尺度的树级张量敷料的符号变化。

英文摘要:

We present a calculation of the three-gluon vertex from its Dyson-Schwinger equation in Landau-gauge Yang-Mills theory. All tensor structures are considered and back-coupled self-consistently. Within the chosen truncation, two-loop diagrams as well as diagrams containing Green's functions beyond the primitively divergent ones are neglected. Only the three-gluon vertex is chosen to be dynamical; the other propagators and vertex functions are provided as separate solutions of their Dyson-Schwinger equations or by Ansatz. For both scaling- and decoupling-type solutions we observe, in agreement with other studies, a sign change in the tree-level tensor dressing at a non-perturbative scale.

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