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.
|Titolo:||Non-topological condensates for the self-dual Chern-Simons-Higgs model|
|Autori interni:||ESPOSITO, PIERPAOLO|
|Data di pubblicazione:||2015|
|Rivista:||COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS|
|Appare nelle tipologie:||1.1 Articolo in rivista|