First Order Framework for Gauge k-Vortices

We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions helps us to define the model compa...

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Main Authors: D. Bazeia, L. Losano, M. A. Marques, R. Menezes
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/9635427
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author D. Bazeia
L. Losano
M. A. Marques
R. Menezes
author_facet D. Bazeia
L. Losano
M. A. Marques
R. Menezes
author_sort D. Bazeia
collection DOAJ
description We study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions helps us to define the model compatible with the existence of first order equations. A method to decouple the first order equations and to construct the model is then introduced and, as a bonus, we get the energy depending exclusively on a function of the fields calculated from the boundary conditions. We investigate some specific possibilities and find, in particular, a compact vortex configuration in which the energy density is all concentrated in a unit circle.
format Article
id doaj-art-059e4998066147169750996f989c6afd
institution OA Journals
issn 1687-7357
1687-7365
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Advances in High Energy Physics
spelling doaj-art-059e4998066147169750996f989c6afd2025-08-20T02:02:58ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/96354279635427First Order Framework for Gauge k-VorticesD. Bazeia0L. Losano1M. A. Marques2R. Menezes3Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, BrazilDepartamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, BrazilDepartamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, BrazilDepartamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, BrazilWe study vortices in generalized Maxwell-Higgs models, with the inclusion of a quadratic kinetic term with the covariant derivative of the scalar field in the Lagrangian density. We discuss the stressless condition and show that the presence of analytical solutions helps us to define the model compatible with the existence of first order equations. A method to decouple the first order equations and to construct the model is then introduced and, as a bonus, we get the energy depending exclusively on a function of the fields calculated from the boundary conditions. We investigate some specific possibilities and find, in particular, a compact vortex configuration in which the energy density is all concentrated in a unit circle.http://dx.doi.org/10.1155/2018/9635427
spellingShingle D. Bazeia
L. Losano
M. A. Marques
R. Menezes
First Order Framework for Gauge k-Vortices
Advances in High Energy Physics
title First Order Framework for Gauge k-Vortices
title_full First Order Framework for Gauge k-Vortices
title_fullStr First Order Framework for Gauge k-Vortices
title_full_unstemmed First Order Framework for Gauge k-Vortices
title_short First Order Framework for Gauge k-Vortices
title_sort first order framework for gauge k vortices
url http://dx.doi.org/10.1155/2018/9635427
work_keys_str_mv AT dbazeia firstorderframeworkforgaugekvortices
AT llosano firstorderframeworkforgaugekvortices
AT mamarques firstorderframeworkforgaugekvortices
AT rmenezes firstorderframeworkforgaugekvortices