Chromoelectric flux tubes within non-Abelian Proca theory

Abstract Flux tube solutions within non-Abelian SU(3) Proca theory with external sources are obtained. It is shown that such tubes have a longitudinal chromoelectric field possessing two components (nonlinear and gradient), as well as a transverse chromomagnetic field whose force lines create concen...

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Main Authors: Vladimir Dzhunushaliev, Vladimir Folomeev
Format: Article
Language:English
Published: SpringerOpen 2024-09-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13322-3
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author Vladimir Dzhunushaliev
Vladimir Folomeev
author_facet Vladimir Dzhunushaliev
Vladimir Folomeev
author_sort Vladimir Dzhunushaliev
collection DOAJ
description Abstract Flux tube solutions within non-Abelian SU(3) Proca theory with external sources are obtained. It is shown that such tubes have a longitudinal chromoelectric field possessing two components (nonlinear and gradient), as well as a transverse chromomagnetic field whose force lines create concentric circles with the center on the axis of the tube. The scenario of a possible relationship between non-Abelian Proca theory and quantum chromodynamics is considered. In such scenario: (a) the components of color fields have different behavior: those which are almost classical, and those which are purely quantum; (b) the second components create a gluon condensate that is a source of the field for the almost classical components of the Proca field; (c) Proca masses may appear as a result of an approximate description of the gluon condensate; (d) the question of gauge invariance is considered. It is shown that the results obtained are in good agreement with the results of lattice calculations. We make an assumption that an approximate description of a flux tube in quantum chromodynamics can be carried out using classical Proca equations but with a mandatory account of a gluon condensate.
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series European Physical Journal C: Particles and Fields
spelling doaj-art-8b950d4abad844af8ed18c5a11a46f742024-11-17T12:45:03ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-0184911210.1140/epjc/s10052-024-13322-3Chromoelectric flux tubes within non-Abelian Proca theoryVladimir Dzhunushaliev0Vladimir Folomeev1Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National UniversityInstitute of Nuclear PhysicsAbstract Flux tube solutions within non-Abelian SU(3) Proca theory with external sources are obtained. It is shown that such tubes have a longitudinal chromoelectric field possessing two components (nonlinear and gradient), as well as a transverse chromomagnetic field whose force lines create concentric circles with the center on the axis of the tube. The scenario of a possible relationship between non-Abelian Proca theory and quantum chromodynamics is considered. In such scenario: (a) the components of color fields have different behavior: those which are almost classical, and those which are purely quantum; (b) the second components create a gluon condensate that is a source of the field for the almost classical components of the Proca field; (c) Proca masses may appear as a result of an approximate description of the gluon condensate; (d) the question of gauge invariance is considered. It is shown that the results obtained are in good agreement with the results of lattice calculations. We make an assumption that an approximate description of a flux tube in quantum chromodynamics can be carried out using classical Proca equations but with a mandatory account of a gluon condensate.https://doi.org/10.1140/epjc/s10052-024-13322-3
spellingShingle Vladimir Dzhunushaliev
Vladimir Folomeev
Chromoelectric flux tubes within non-Abelian Proca theory
European Physical Journal C: Particles and Fields
title Chromoelectric flux tubes within non-Abelian Proca theory
title_full Chromoelectric flux tubes within non-Abelian Proca theory
title_fullStr Chromoelectric flux tubes within non-Abelian Proca theory
title_full_unstemmed Chromoelectric flux tubes within non-Abelian Proca theory
title_short Chromoelectric flux tubes within non-Abelian Proca theory
title_sort chromoelectric flux tubes within non abelian proca theory
url https://doi.org/10.1140/epjc/s10052-024-13322-3
work_keys_str_mv AT vladimirdzhunushaliev chromoelectricfluxtubeswithinnonabelianprocatheory
AT vladimirfolomeev chromoelectricfluxtubeswithinnonabelianprocatheory