Linear Energy Density and the Flux of an Electric Field in Proca Tubes
In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends cruc...
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MDPI AG
2021-04-01
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Online Access: | https://www.mdpi.com/2073-8994/13/4/640 |
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author | Vladimir Dzhunushaliev Vladimir Folomeev Abylaikhan Tlemisov |
author_facet | Vladimir Dzhunushaliev Vladimir Folomeev Abylaikhan Tlemisov |
author_sort | Vladimir Dzhunushaliev |
collection | DOAJ |
description | In this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field. |
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format | Article |
id | doaj.art-16b17ce823b14d50bc80ffe2f347c918 |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-10T12:26:42Z |
publishDate | 2021-04-01 |
publisher | MDPI AG |
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series | Symmetry |
spelling | doaj.art-16b17ce823b14d50bc80ffe2f347c9182023-11-21T14:58:53ZengMDPI AGSymmetry2073-89942021-04-0113464010.3390/sym13040640Linear Energy Density and the Flux of an Electric Field in Proca TubesVladimir Dzhunushaliev0Vladimir Folomeev1Abylaikhan Tlemisov2Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanInstitute of Nuclear Physics, Almaty 050032, KazakhstanDepartment of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty 050040, KazakhstanIn this work, we study cylindrically symmetric solutions within SU(3) non-Abelian Proca theory coupled to a Higgs scalar field. The solutions describe tubes containing either the flux of a color electric field or the energy flux and momentum. It is shown that the existence of such tubes depends crucially on the presence of the Higgs field (there are no such solutions without this field). We examine the dependence of the integral characteristics (linear energy and momentum densities) on the values of the electromagnetic potentials at the center of the tube, as well as on the values of the coupling constant of the Higgs scalar field. The solutions obtained are topologically trivial and demonstrate the dual Meissner effect: the electric field is pushed out by the Higgs scalar field.https://www.mdpi.com/2073-8994/13/4/640non-Abelian Proca theorylongitudinal electric fieldflux tubeenergy fluxmomentum density |
spellingShingle | Vladimir Dzhunushaliev Vladimir Folomeev Abylaikhan Tlemisov Linear Energy Density and the Flux of an Electric Field in Proca Tubes Symmetry non-Abelian Proca theory longitudinal electric field flux tube energy flux momentum density |
title | Linear Energy Density and the Flux of an Electric Field in Proca Tubes |
title_full | Linear Energy Density and the Flux of an Electric Field in Proca Tubes |
title_fullStr | Linear Energy Density and the Flux of an Electric Field in Proca Tubes |
title_full_unstemmed | Linear Energy Density and the Flux of an Electric Field in Proca Tubes |
title_short | Linear Energy Density and the Flux of an Electric Field in Proca Tubes |
title_sort | linear energy density and the flux of an electric field in proca tubes |
topic | non-Abelian Proca theory longitudinal electric field flux tube energy flux momentum density |
url | https://www.mdpi.com/2073-8994/13/4/640 |
work_keys_str_mv | AT vladimirdzhunushaliev linearenergydensityandthefluxofanelectricfieldinprocatubes AT vladimirfolomeev linearenergydensityandthefluxofanelectricfieldinprocatubes AT abylaikhantlemisov linearenergydensityandthefluxofanelectricfieldinprocatubes |