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Spurious divergences in Dyson-Schwinger equations

Huber, Markus Q. ; Smekal, Lorenz von (2014)
Spurious divergences in Dyson-Schwinger equations.
In: Journal of High Energy Physics, 2014 (6)
doi: 10.1007/JHEP06(2014)015
Artikel, Bibliographie

Dies ist die neueste Version dieses Eintrags.

Kurzbeschreibung (Abstract)

We revisit the treatment of spurious ultraviolet divergences in the equation ofmotion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its DysonSchwinger equation reaching the level of quantitatively accurate descriptions, it becomes increasingly important to understand how to subtract these spurious divergences in an unambiguous way. Here we propose such a method. It is based entirely on the asymptotic perturbative behavior of the QCD Green’s functions without affecting non-perturbative aspects such as mass terms or the asymptotic infrared behavior. As a particular example, this allows us to assess the possible influence of the tadpole diagram beyond perturbation theory. Finally, we test this method numerically by solving the system of Dyson-Schwinger equations of the gluon and ghost propagators.

Typ des Eintrags: Artikel
Erschienen: 2014
Autor(en): Huber, Markus Q. ; Smekal, Lorenz von
Art des Eintrags: Bibliographie
Titel: Spurious divergences in Dyson-Schwinger equations
Sprache: Englisch
Publikationsjahr: 2014
Verlag: Springer Nature
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Journal of High Energy Physics
Jahrgang/Volume einer Zeitschrift: 2014
(Heft-)Nummer: 6
Kollation: 21 Seiten
DOI: 10.1007/JHEP06(2014)015
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Kurzbeschreibung (Abstract):

We revisit the treatment of spurious ultraviolet divergences in the equation ofmotion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon propagator from its DysonSchwinger equation reaching the level of quantitatively accurate descriptions, it becomes increasingly important to understand how to subtract these spurious divergences in an unambiguous way. Here we propose such a method. It is based entirely on the asymptotic perturbative behavior of the QCD Green’s functions without affecting non-perturbative aspects such as mass terms or the asymptotic infrared behavior. As a particular example, this allows us to assess the possible influence of the tadpole diagram beyond perturbation theory. Finally, we test this method numerically by solving the system of Dyson-Schwinger equations of the gluon and ghost propagators.

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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