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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 042, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.042 (Mi sigma1937) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Solitons in the Gauged Skyrme–Maxwell Model

Leandro Roza Livramentoa, Eugen Radub, Yakov Shnirac

a BLTP, JINR, Dubna 141980, Moscow Region, Russia
b Department of Mathematics, University of Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal
c Institute of Physics, Carl von Ossietzky University Oldenburg, 26111 Oldenburg, Germany
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DOI: https://doi.org/10.3842/SIGMA.2023.042
Abstract: We consider soliton solutions of the ${\rm U}(1)$ gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in the units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with increase of the gauge coupling.
Keywords: Skyrme–Maxwell model, gauged Skyrmions, topological solitons, Skyrmions.
Funding agency Grant number
Fundação para a Ciência e a Tecnologia UIDB/04106/2020
UIDP/04106/2020
PTDC/FIS-AST/3041/2020
2022.04560.PTDC
CERN CERN/FIS-PAR/0027/2019
CERN/FIS-PAR/0024/2021
European Research Council FunFiCO-777740
NewFunFiCO-101086251
The work of E.R. is supported by the Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT – Fundacão para a Ciência e a Tecnologia), references UIDB/04106/2020 and UIDP/04106/2020. E.R. also acknowledge support from the projects CERN/FIS-PAR/0027/2019, PTDC/FIS-AST/3041/2020, CERN/FIS-PAR/0024/2021 and 2022.04560.PTDC. This work has further been supported by the European Union’s Horizon 2020 research and innovation (RISE) programme H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740 and by the European Horizon Europe staff exchange (SE) programme HORIZON-MSCA-2021-SE-01 Grant No. NewFunFiCO-101086251.
Received: February 1, 2023; in final form June 3, 2023; Published online June 14, 2023
Document Type: Article
MSC: 81R12, 81T10
Language: English
Citation: Leandro Roza Livramento, Eugen Radu, Yakov Shnir, “Solitons in the Gauged Skyrme–Maxwell Model”, SIGMA, 19 (2023), 042, 17 pp.
Citation in format AMSBIB
\Bibitem{LivRadShn23}
\by Leandro~Roza~Livramento, Eugen~Radu, Yakov~Shnir
\paper Solitons in the Gauged Skyrme--Maxwell Model
\jour SIGMA
\yr 2023
\vol 19
\papernumber 042
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma1937}
\crossref{https://doi.org/10.3842/SIGMA.2023.042}
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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