Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor

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 ×...

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Detalles Bibliográficos
Autores principales: Chen, Shouxin, Han, Xiaosen, Lozano, Gustavo, Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Chern-Simons-Higgs equations, BPS equations, topological solutions, doubly periodic solutions, existence theorems
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/77549
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-77549
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Chern-Simons-Higgs equations, BPS equations, topological solutions, doubly periodic solutions, existence theorems
Física
spellingShingle Ciencias Exactas
Chern-Simons-Higgs equations, BPS equations, topological solutions, doubly periodic solutions, existence theorems
Física
Chen, Shouxin
Han, Xiaosen
Lozano, Gustavo
Schaposnik, Fidel Arturo
Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
topic_facet Ciencias Exactas
Chern-Simons-Higgs equations, BPS equations, topological solutions, doubly periodic solutions, existence theorems
Física
description 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.
format Articulo
Articulo
author Chen, Shouxin
Han, Xiaosen
Lozano, Gustavo
Schaposnik, Fidel Arturo
author_facet Chen, Shouxin
Han, Xiaosen
Lozano, Gustavo
Schaposnik, Fidel Arturo
author_sort Chen, Shouxin
title Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
title_short Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
title_full Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
title_fullStr Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
title_full_unstemmed Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
title_sort existence theorems for non-abelian chern-simons-higgs vortices with flavor
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/77549
work_keys_str_mv AT chenshouxin existencetheoremsfornonabelianchernsimonshiggsvorticeswithflavor
AT hanxiaosen existencetheoremsfornonabelianchernsimonshiggsvorticeswithflavor
AT lozanogustavo existencetheoremsfornonabelianchernsimonshiggsvorticeswithflavor
AT schaposnikfidelarturo existencetheoremsfornonabelianchernsimonshiggsvorticeswithflavor
bdutipo_str Repositorios
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