Generalized Maxwell–Higgs vortices in models with enhanced symmetry
Abstract Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry $$\mathrm {U(1)}\times \cdots \times \mathrm {U(1)}$$ U ( 1 ) × ⋯ × U ( 1 ) , and for each $$\mathrm {U(1)}$$ U ( 1 ) subgroup, a complex scalar field transform...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10287-z |
| _version_ | 1818022608239591424 |
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| author | D. Bazeia M. A. Liao M. A. Marques |
| author_facet | D. Bazeia M. A. Liao M. A. Marques |
| author_sort | D. Bazeia |
| collection | DOAJ |
| description | Abstract Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry $$\mathrm {U(1)}\times \cdots \times \mathrm {U(1)}$$ U ( 1 ) × ⋯ × U ( 1 ) , and for each $$\mathrm {U(1)}$$ U ( 1 ) subgroup, a complex scalar field transforming under its action is introduced, as well as generalized permeabilities through which the subsystems are coupled. We investigate in detail the features of static, finite energy solutions within this class of generalized Maxwell–Higgs models, and study the effect of the winding numbers in the magnetic properties of each subsystem. A BPS bound and the related first order equations are introduced for a large class of models. Finally, we present some specific models and solve their equations of motion to find solutions engendering many distinct features in relation to each other and to the standard Nielsen–Olesen vortex. |
| first_indexed | 2024-12-10T03:31:08Z |
| format | Article |
| id | doaj.art-4d0d0e5ec43e40bc9380a8ca434c0640 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T03:31:08Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-4d0d0e5ec43e40bc9380a8ca434c06402022-12-22T02:03:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-04-0182411510.1140/epjc/s10052-022-10287-zGeneralized Maxwell–Higgs vortices in models with enhanced symmetryD. Bazeia0M. A. Liao1M. A. Marques2Departamento de Física, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaDepartamento de Física, Universidade Federal da ParaíbaAbstract Topological vortices in relativistic gauge theories in flat three-dimensional spacetime are investigated. We consider the symmetry $$\mathrm {U(1)}\times \cdots \times \mathrm {U(1)}$$ U ( 1 ) × ⋯ × U ( 1 ) , and for each $$\mathrm {U(1)}$$ U ( 1 ) subgroup, a complex scalar field transforming under its action is introduced, as well as generalized permeabilities through which the subsystems are coupled. We investigate in detail the features of static, finite energy solutions within this class of generalized Maxwell–Higgs models, and study the effect of the winding numbers in the magnetic properties of each subsystem. A BPS bound and the related first order equations are introduced for a large class of models. Finally, we present some specific models and solve their equations of motion to find solutions engendering many distinct features in relation to each other and to the standard Nielsen–Olesen vortex.https://doi.org/10.1140/epjc/s10052-022-10287-z |
| spellingShingle | D. Bazeia M. A. Liao M. A. Marques Generalized Maxwell–Higgs vortices in models with enhanced symmetry European Physical Journal C: Particles and Fields |
| title | Generalized Maxwell–Higgs vortices in models with enhanced symmetry |
| title_full | Generalized Maxwell–Higgs vortices in models with enhanced symmetry |
| title_fullStr | Generalized Maxwell–Higgs vortices in models with enhanced symmetry |
| title_full_unstemmed | Generalized Maxwell–Higgs vortices in models with enhanced symmetry |
| title_short | Generalized Maxwell–Higgs vortices in models with enhanced symmetry |
| title_sort | generalized maxwell higgs vortices in models with enhanced symmetry |
| url | https://doi.org/10.1140/epjc/s10052-022-10287-z |
| work_keys_str_mv | AT dbazeia generalizedmaxwellhiggsvorticesinmodelswithenhancedsymmetry AT maliao generalizedmaxwellhiggsvorticesinmodelswithenhancedsymmetry AT mamarques generalizedmaxwellhiggsvorticesinmodelswithenhancedsymmetry |