A Dyson-Schwinger study of the four-gluon vertex

• Verfasst von: Cyrol, Anton Konrad [VerfasserIn]
• Verfasst von: Huber, Markus Q. [VerfasserIn]
• Verfasst von: Smekal, Lorenz von [VerfasserIn]
• Titel: A Dyson-Schwinger study of the four-gluon vertex
• Verf.angabe: Anton K. Cyrol, Markus Q. Huber, Lorenz von Smekal
• E-Jahr: 2015
• Jahr: 04 March 2015
• Umfang: 21 S.
• Fussnoten: Gesehen am 16.12.2020
• Titel Quelle: Enthalten in: The European physical journal / C
• Ort Quelle: Berlin : Springer, 1998
• Jahr Quelle: 2015
• Band/Heft Quelle: 75(2015,3) Artikel-Nummer 102, 21 Seiten
• ISSN Quelle: 1434-6052
• DOI: doi:10.1140/epjc/s10052-015-3312-1
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1743004214

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.