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...

Descripción completa

Detalles Bibliográficos
Autores: Grandi, Nicolás Esteban, Salazar Landea, Ignacio, Silva, Guillermo Ariel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/102115
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102115
Access Level:acceso abierto
Palabra clave:Física
Vortex
Ads
Kosterlitz-Thouless
Lifshitz-Chern-Simons
Descripción
Sumario: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.