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A Dyson–Schwinger study of the four-gluon vertex

Cyrol, Anton K. ; Huber, Markus Q. ; Smekal, Lorenz von (2015)
A Dyson–Schwinger study of the four-gluon vertex.
In: The European Physical Journal C, 75 (3)
doi: 10.1140/epjc/s10052-015-3312-1
Artikel, Bibliographie

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Kurzbeschreibung (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 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.

Typ des Eintrags: Artikel
Erschienen: 2015
Autor(en): Cyrol, Anton K. ; Huber, Markus Q. ; Smekal, Lorenz von
Art des Eintrags: Bibliographie
Titel: A Dyson–Schwinger study of the four-gluon vertex
Sprache: Englisch
Publikationsjahr: 2015
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: The European Physical Journal C
Jahrgang/Volume einer Zeitschrift: 75
(Heft-)Nummer: 3
Kollation: 21 Seiten
DOI: 10.1140/epjc/s10052-015-3312-1
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Kurzbeschreibung (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 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.

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
Hinterlegungsdatum: 02 Aug 2024 12:38
Letzte Änderung: 02 Aug 2024 12:38
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