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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Online Access: | https://doi.org/10.1007/JHEP08(2021)056 |
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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 |
work_keys_str_mv |
AT alexanderapenin atheoryofgiantvortices AT quintenweller atheoryofgiantvortices AT alexanderapenin theoryofgiantvortices AT quintenweller theoryofgiantvortices |
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1721199386749304832 |