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Spurious divergences in Dyson-Schwinger equations

Huber, Markus Q. ; Smekal, Lorenz von (2022):
Spurious divergences in Dyson-Schwinger equations. (Publisher's Version)
In: Journal of High Energy Physics, 2014 (6), Springer Nature, ISSN 1126-6708, e-ISSN 1029-8479,
DOI: 10.26083/tuprints-00012737,

Available under: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Origin: Secondary publication
Status: Publisher's Version
Title: Spurious divergences in Dyson-Schwinger equations
Language: English

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.

Journal or Publication Title: Journal of High Energy Physics
Volume of the journal: 2014
Issue Number: 6
Publisher: Springer Nature
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 13:12
Last Modified: 10 Mar 2022 09:24
DOI: 10.26083/tuprints-00012737
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-127375
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12737
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