For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as $k \to 0$, where $k>0$ is the Chern-Simons parameter. We provide a positive answer to the long-standing problem on the existence of non-topological condensates with magnetic field concentrated at some of the vortex points (as a sum of Dirac measures) as $k \to 0$, a question which is of definite physical interest.

DEL PINO, M., Esposito, P., Figueroa, P., Musso, M. (2015). Non-topological condensates for the self-dual Chern-Simons-Higgs model. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 68(7), 1191-1283 [10.1002/cpa.21548].

### Non-topological condensates for the self-dual Chern-Simons-Higgs model

#### Abstract

For the abelian self-dual Chern-Simons-Higgs model we address existence issues of periodic vortex configurations -- the so-called condensates-- of non-topological type as $k \to 0$, where $k>0$ is the Chern-Simons parameter. We provide a positive answer to the long-standing problem on the existence of non-topological condensates with magnetic field concentrated at some of the vortex points (as a sum of Dirac measures) as $k \to 0$, a question which is of definite physical interest.
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DEL PINO, M., Esposito, P., Figueroa, P., Musso, M. (2015). Non-topological condensates for the self-dual Chern-Simons-Higgs model. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 68(7), 1191-1283 [10.1002/cpa.21548].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/135912
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