A Dyson-Schwinger study of the four-gluon vertex
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-Sch...
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
04 March 2015
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| In: |
The European physical journal. C, Particles and fields
Year: 2015, Jahrgang: 75, Heft: 3, Pages: 1-21 |
| ISSN: | 1434-6052 |
| DOI: | 10.1140/epjc/s10052-015-3312-1 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epjc/s10052-015-3312-1
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| Verfasserangaben: | Anton K. Cyrol, Markus Q. Huber, Lorenz von Smekal |
MARC
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| 520 | |a 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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