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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Autores principales: Grandi, Nicolás Esteban, Salazar Landea, Ignacio, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102115
https://ri.conicet.gov.ar/11336/23507
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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.