Existence theorems for non-Abelian Chern–Simons–Higgs vortices with flavor
| cic.isFulltext | true | es |
| cic.isPeerReviewed | true | es |
| cic.lugarDesarrollo | Universidad Nacional de La Plata | es |
| cic.version | info:eu-repo/semantics/submittedVersion | es |
| dc.date.accessioned | 2016-09-09T14:57:39Z | |
| dc.date.available | 2016-09-09T14:57:39Z | |
| dc.identifier.uri | https://digital.cic.gba.gob.ar/handle/11746/4203 | |
| dc.title | Existence theorems for non-Abelian Chern–Simons–Higgs vortices with flavor | en |
| dc.type | Artículo | es |
| dcterms.abstract | In this paper we establish the existence of vortex solutions for a Chern–Simons– Higgs model with gauge group SU(N) × U(1) and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a color-flavor locking. Under a suitable ansatz we reduce the problem to a 2 × 2 system of nonlinear ellip- tic equations with exponential terms. We study this system over the full plane and over a doubly periodic domain, respectively. For the planar case we use a variational argument to establish the existence result and derive the decay estimates of the solu- tions. Over the doubly periodic domain we show that the system admits at least two gauge-distinct solutions carrying the same physical energy by using a constrained mini- mization approach and the mountain-pass theorem. In both cases we get the quantized vortex magnetic fluxes and electric charges. | en |
| dcterms.creator.author | Chen, Shouxin | es |
| dcterms.creator.author | Han, Xiaosen | es |
| dcterms.creator.author | Lozano, Gustavo | es |
| dcterms.creator.author | Schaposnik, Fidel Arturo | es |
| dcterms.extent | p. 2458-2498 | es |
| dcterms.identifier.other | DOI:10.1016/j.jde.2015.03.037 | es |
| dcterms.identifier.url | Documento completo | es |
| dcterms.isPartOf.issue | vol. 259, nº 6 | es |
| dcterms.isPartOf.series | Journal of Differential Equations | es |
| dcterms.issued | 2015 | |
| dcterms.language | Inglés | es |
| dcterms.license | Attribution 4.0 International (BY 4.0) | es |
| dcterms.publisher | Elsevier | es |
| dcterms.subject | Chern–Simons–Higgs equations | en |
| dcterms.subject | BPS equations | en |
| dcterms.subject | Topological solutions | en |
| dcterms.subject | Doubly periodic solutions | en |
| dcterms.subject | Existence theorems | en |
| dcterms.subject.materia | Ciencias Físicas | es |
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