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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.
In: The European Physical Journal C, 2015, 75 (3)
doi: 10.26083/tuprints-00012736
Artikel, Zweitveröffentlichung, Verlagsversion

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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: 2022
Autor(en): Cyrol, Anton K. ; Huber, Markus Q. ; Smekal, Lorenz von
Art des Eintrags: Zweitveröffentlichung
Titel: A Dyson–Schwinger study of the four-gluon vertex
Sprache: Englisch
Publikationsjahr: 2022
Publikationsdatum der Erstveröffentlichung: 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: 10.26083/tuprints-00012736
URL / URN: https://tuprints.ulb.tu-darmstadt.de/12736
Zugehörige Links:
Herkunft: Zweitveröffentlichung
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.

Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-127366
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: 01 Mär 2022 08:34
Letzte Änderung: 02 Mär 2022 09:30
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