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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Main Authors: Vladimir Dzhunushaliev, Vladimir Folomeev, Abylaikhan Tlemisov
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Symmetry
Subjects:
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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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
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AT vladimirfolomeev linearenergydensityandthefluxofanelectricfieldinprocatubes
AT abylaikhantlemisov linearenergydensityandthefluxofanelectricfieldinprocatubes