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arXiv · 1112.5081

Explicit construction of the pole part of the three-gluon vertex

David Ibanez
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Abstract

We present an explicit construction of the special part of the three gluon vertex, which incorporates the Schwinger mechanism into the Schwinger-Dyson equation of the gluon propagator, enabling the generation of a dynamical gluon mass. This vertex contains massless, longitudinally coupled poles, acting effectively as composite Nambu-Goldstone bosons, generated by the strong QCD dynamics. The basic ingredients required for this construction are the longitudinal nature of this vertex and the Slavnov-Taylor identities that it must satisfy, in order for gauge-invariance and BRST symmetry to remain intact in the presence of a gluon mass.

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David Ibanez. 2011-12-21. Explicit construction of the pole part of the three-gluon vertex. https://arxiv.org/abs/1112.5081

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