A theory of giant vortices

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral...

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Main Authors: Alexander A. Penin, Quinten Weller
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2021)056
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spelling doaj-f9dc45ec21954045a34abb9f69439d622021-08-22T11:46:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021812210.1007/JHEP08(2021)056A theory of giant vorticesAlexander A. Penin0Quinten Weller1Department of Physics, University of AlbertaDepartment of Physics, University of AlbertaAbstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.https://doi.org/10.1007/JHEP08(2021)056Solitons Monopoles and InstantonsEffective Field Theories
collection DOAJ
language English
format Article
sources DOAJ
author Alexander A. Penin
Quinten Weller
spellingShingle Alexander A. Penin
Quinten Weller
A theory of giant vortices
Journal of High Energy Physics
Solitons Monopoles and Instantons
Effective Field Theories
author_facet Alexander A. Penin
Quinten Weller
author_sort Alexander A. Penin
title A theory of giant vortices
title_short A theory of giant vortices
title_full A theory of giant vortices
title_fullStr A theory of giant vortices
title_full_unstemmed A theory of giant vortices
title_sort theory of giant vortices
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-08-01
description Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.
topic Solitons Monopoles and Instantons
Effective Field Theories
url https://doi.org/10.1007/JHEP08(2021)056
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