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arXiv · 0906.2834

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

Han-xin He
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Abstract

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.

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Han-xin He. 2009-06-16. Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD. https://doi.org/10.1103/physrevd.80.016004

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