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A Dyson–Schwinger study of the four-gluon vertex

Cyrol, Anton K. ; Huber, Markus Q. ; Smekal, Lorenz von (2022):
A Dyson–Schwinger study of the four-gluon vertex. (Publisher's Version)
In: The European Physical Journal C, 75 (3), Springer, ISSN 1434-6044, e-ISSN 1434-6052,
DOI: 10.26083/tuprints-00012736,

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: A Dyson–Schwinger study of the four-gluon vertex
Language: English

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 treelevel 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.

Journal or Publication Title: The European Physical Journal C
Volume of the journal: 75
Issue Number: 3
Place of Publication: Darmstadt
Publisher: Springer
Collation: 21 Seiten
Classification DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 01 Mar 2022 08:34
Last Modified: 23 Feb 2023 06:43
DOI: 10.26083/tuprints-00012736
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-127366
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12736
PPN: 505211637
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