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arXiv · 1206.0611

Vortex solutions of the Lifshitz-Chern-Simons theory

Ignacio Salazar Landea·Nicolas Grandi·Guillermo A. Silva
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Abstract

We study vortex-like solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exists 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 U(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.

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Ignacio Salazar Landea, Nicolas Grandi, Guillermo A. Silva. 2013-02-19. Vortex solutions of the Lifshitz-Chern-Simons theory. https://doi.org/10.1103/physrevd.87.025031

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