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arXiv · 1206.1843

A Compact Representation of the Three-Gluon Vertex

N. Ahmadiniaz·C. Schubert
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Abstract

The three-gluon vertex is a basic object of interest in nonabelian gauge theory. It contains important structural information, in particular on infrared divergences, and also figures prominently in the Schwinger-Dyson equations. At the one-loop level, it has been calculated and analyzed by a number of authors. Here we use the worldline formalism to unify the calculations of the scalar, spinor and gluon loop contributions to the one-loop vertex, leading to an extremely compact representation. The SUSY - related sum rule found by Binger and Brodsky follows from an off-shell extension of the Bern-Kosower replacement rules. We explain the relation of the structure of our representation to the low-energy effective action.

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N. Ahmadiniaz, C. Schubert. 2012-06-08. A Compact Representation of the Three-Gluon Vertex. https://arxiv.org/abs/1206.1843

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