Vortex solutions of the Lifshitz-Chern-Simons theory

NICOLAS GRANDI; IGNACIO SALAZAR LANDEA

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2013 vol. 87 p. 250311 - 250316

1550-7998

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 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.