Vortex solutions of the Lifshitz-Chern-Simons theory

We study vortexlike solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exist and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex pairs are created above a critical temperature. Following a sugg...

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Bibliographic Details
Authors: Grandi, Nicolás Esteban, Salazar Landea, Ignacio, Silva, Guillermo Ariel
Format: article
Status:Published version
Publication Date:2012
Country:Argentina
Institution:Universidad Nacional de La Plata
Repository:SEDICI (UNLP)
Language:English
OAI Identifier:oai:sedici.unlp.edu.ar:10915/102115
Online Access:http://sedici.unlp.edu.ar/handle/10915/102115
Access Level:Open access
Keyword:Física
Vortex
Ads
Kosterlitz-Thouless
Lifshitz-Chern-Simons
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spelling Vortex solutions of the Lifshitz-Chern-Simons theoryGrandi, Nicolás EstebanSalazar Landea, IgnacioSilva, Guillermo ArielFísicaVortexAdsKosterlitz-ThoulessLifshitz-Chern-SimonsWe study vortexlike solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exist and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex pairs are created above a critical temperature. Following a suggestion made by Callan and Wilzcek for the global <i>U</i>(1) scalar field model, we study vortex solutions of the Lifshitz-Chern-Simons model formulated on the hyperbolic plane, finding that, as expected, the resulting configurations have finite energy. For completeness, we also explore Lifshitz-Chern-Simons vortex solutions on the sphere.Instituto de Física La Plata2012-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-6http://sedici.unlp.edu.ar/handle/10915/102115enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23507info:eu-repo/semantics/altIdentifier/issn/1550-7998info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.87.025031info:eu-repo/semantics/altIdentifier/arxiv/1206.0611info:eu-repo/semantics/altIdentifier/hdl/11336/23507info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T12:57:55Zoai:sedici.unlp.edu.ar:10915/102115Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 12:57:56.067SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Vortex solutions of the Lifshitz-Chern-Simons theory
title Vortex solutions of the Lifshitz-Chern-Simons theory
spellingShingle Vortex solutions of the Lifshitz-Chern-Simons theory
Grandi, Nicolás Esteban
Física
Vortex
Ads
Kosterlitz-Thouless
Lifshitz-Chern-Simons
title_short Vortex solutions of the Lifshitz-Chern-Simons theory
title_full Vortex solutions of the Lifshitz-Chern-Simons theory
title_fullStr Vortex solutions of the Lifshitz-Chern-Simons theory
title_full_unstemmed Vortex solutions of the Lifshitz-Chern-Simons theory
title_sort Vortex solutions of the Lifshitz-Chern-Simons theory
dc.creator.none.fl_str_mv Grandi, Nicolás Esteban
Salazar Landea, Ignacio
Silva, Guillermo Ariel
author Grandi, Nicolás Esteban
author_facet Grandi, Nicolás Esteban
Salazar Landea, Ignacio
Silva, Guillermo Ariel
author_role author
author2 Salazar Landea, Ignacio
Silva, Guillermo Ariel
author2_role author
author
dc.subject.none.fl_str_mv Física
Vortex
Ads
Kosterlitz-Thouless
Lifshitz-Chern-Simons
topic Física
Vortex
Ads
Kosterlitz-Thouless
Lifshitz-Chern-Simons
description We study vortexlike solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exist and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex pairs are created above a critical temperature. Following a suggestion made by Callan and Wilzcek for the global <i>U</i>(1) scalar field model, we study vortex solutions of the Lifshitz-Chern-Simons model formulated on the hyperbolic plane, finding that, as expected, the resulting configurations have finite energy. For completeness, we also explore Lifshitz-Chern-Simons vortex solutions on the sphere.
publishDate 2012
dc.date.none.fl_str_mv 2012-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/102115
url http://sedici.unlp.edu.ar/handle/10915/102115
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/23507
info:eu-repo/semantics/altIdentifier/issn/1550-7998
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.87.025031
info:eu-repo/semantics/altIdentifier/arxiv/1206.0611
info:eu-repo/semantics/altIdentifier/hdl/11336/23507
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1-6
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
instname_str Universidad Nacional de La Plata
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institution UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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