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arXiv 0906.2834hep-ph
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QCD中的横对称变换和夸克-胶子顶点函数

Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD

Han-xin He

摘要:

本文介绍了规范理论中与正规对称变换相联系的横对称变换,它首先用来再现阿贝尔理论QED中的横Ward-Takahashi恒等式。然后利用非阿贝尔理论QCD中与BRST对称性和手征变换相关的横对称变换,分别导出了矢量和轴矢量夸克胶子顶点的横Slavnov-Taylor恒等式.基于规范和横截Slavnov-Taylor恒等式,导出了夸克胶子顶点函数的表达式,它描述了QCD的规范对称性对夸克胶子顶点结构的约束.讨论了它在研究QCD中夸克传播子的Dyson-Schwinger方程中的作用。

英文摘要:

The transverse symmetry transformations associated with the normal symmetry transformations in gauge theories are introduced, which at first are used to reproduce the transverse Ward-Takahashi identities in the Abelian theory QED. Then the transverse symmetry transformations associated with the BRST symmetry and chiral transformations in the non-Abelian theory QCD are used to derive the transverse Slavnov-Taylor identities for the vector and axial-vector quark-gluon vertices, respectively. Based on the set of normal and transverse Slavnov-Taylor identities, an expression of the quark-gluon vertex function is derived, which describes the constraints on the structure of the quark-gluon vertex imposed from the underlying gauge symmetry of QCD alone. Its role in the study of the Dyson-Schwinger equation for the quark propagator in QCD is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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