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arXiv · 1408.5409

A Dyson-Schwinger study of the four-gluon vertex

Anton K. Cyrol·Markus Q. Huber·Lorenz von Smekal
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Abstract

We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang--Mills theory from a truncated Dyson--Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only input results for lower Green functions from previous Dyson--Schwinger calculations that are in good agreement with lattice data. All quantities are therefore fixed and no higher Green functions enter within this truncation. Our self-consistent solution resolves the full momentum dependence of the vertex but is limited to the tree-level tensor structure at the moment. Calculations of selected dressing functions for other tensor structures from this solution are used to exemplify that they are suppressed compared to the tree-level structure except for possible logarithmic enhancements in the deep infrared. Our results furthermore allow one to extract a qualitative fit for the vertex and a running coupling.

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Anton K. Cyrol, Markus Q. Huber, Lorenz von Smekal. 2015-03-15. A Dyson-Schwinger study of the four-gluon vertex. https://doi.org/10.1140/epjc%2Fs10052-015-3312-1

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