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Propagators and topology

Two popular perspectives on the non-perturbative domain of Yang–Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying...

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Autor principal: Maas, Axel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4376381/
https://www.ncbi.nlm.nih.gov/pubmed/25838798
http://dx.doi.org/10.1140/epjc/s10052-015-3342-8
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author Maas, Axel
author_facet Maas, Axel
author_sort Maas, Axel
collection PubMed
description Two popular perspectives on the non-perturbative domain of Yang–Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang–Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations.
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spelling pubmed-43763812015-03-31 Propagators and topology Maas, Axel Eur Phys J C Part Fields Regular Article - Theoretical Physics Two popular perspectives on the non-perturbative domain of Yang–Mills theories are either in terms of the gluons themselves or in terms of collective gluonic excitations, i.e. topological excitations. If both views are correct, then they are only two different representations of the same underlying physics. One possibility to investigate this connection is by the determination of gluon correlation functions in topological background fields, as created by the smearing of lattice configurations. This is performed here for the minimal Landau gauge gluon propagator, ghost propagator, and running coupling, both in momentum and position space for SU(2) Yang–Mills theory. The results show that the salient low-momentum features of the propagators are qualitatively retained under smearing at sufficiently small momenta, in agreement with an equivalence of both perspectives. However, the mid-momentum behavior is significantly affected. These results are also relevant for the construction of truncations in functional methods, as they provide hints on necessary properties to be retained in truncations. Springer Berlin Heidelberg 2015-03-14 2015 /pmc/articles/PMC4376381/ /pubmed/25838798 http://dx.doi.org/10.1140/epjc/s10052-015-3342-8 Text en © The Author(s) 2015 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. Funded by SCOAP3 / License Version CC BY 4.0.
spellingShingle Regular Article - Theoretical Physics
Maas, Axel
Propagators and topology
title Propagators and topology
title_full Propagators and topology
title_fullStr Propagators and topology
title_full_unstemmed Propagators and topology
title_short Propagators and topology
title_sort propagators and topology
topic Regular Article - Theoretical Physics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4376381/
https://www.ncbi.nlm.nih.gov/pubmed/25838798
http://dx.doi.org/10.1140/epjc/s10052-015-3342-8
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