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Spurious divergences in Dyson-Schwinger equations

Huber, Markus Q. ; Smekal, Lorenz von (2022)
Spurious divergences in Dyson-Schwinger equations.
In: Journal of High Energy Physics, 2014, 2014 (6)
doi: 10.26083/tuprints-00012737
Article, Secondary publication, Publisher's Version

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Type of entry: Secondary publication
Title: Spurious divergences in Dyson-Schwinger equations
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2014
Publisher: Springer Nature
Journal or Publication Title: Journal of High Energy Physics
Volume of the journal: 2014
Issue Number: 6
Collation: 21 Seiten
DOI: 10.26083/tuprints-00012737
Corresponding Links:
Origin: Secondary publication

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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-127375
Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 01 Mar 2022 13:12
Last Modified: 23 Feb 2023 06:44
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12737
PPN: 505211955
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