Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-Higgs System
نویسندگان
چکیده
The existence of vortex condensates in the self-dual Maxwell-ChernSimons-Higgs System on a flat torus is proved by the super-sub solution method under the assumption that the total vortex number in a given periodic domain is not too large. We also study the limiting behaviors of the solutions as the Chern-Simons coupling constant goes to some limits. In the Abelian-Higgs limit we find that our solutions strongly converges to the corresponding vortex condensates of the Abelian-Higgs system, while in the Chern-Simons limit the solutions strongly converges to the corresponding vortex condensates of Chern-Simons system.
منابع مشابه
Non-relativistic Maxwell-Chern-Simons Vortices
The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The subtle Galilean symmetry is explained, and the theory is extended to (non-relativistic) spinors. A relativistic, self-dual model, whose non-relativistic limit is the Manton model is also presented. The relation to previous work by Barashenk...
متن کاملVortices in (abelian) Chern-Simons gauge theory
The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...
متن کاملTopological Multivortices Solutions of the Self-Dual Maxwell-Chern-Simons-Higgs System
We study existence and various behaviors of topological multivortices solutions of the relativistic self-dual Maxwell-Chern-SimonsHiggs system. We first prove existence of general topological solutions by applying variational methods to the newly discovered minimizing functional. Then, by an iteration method we prove existence of topological solutions satisfying some extra conditions, which we ...
متن کاملSelf-dual vortices in the generalized Abelian Higgs model with independent Chern-Simons interaction.
Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a Chern-Simons-Higgs model with two scalar fields, or other new models. We investigate the properties of the static solutions and perform detailed numerical analyses. For t...
متن کاملSelf-dual Chern-Simons solitons in noncommutative space
We construct exact soliton solutions to the Chern-Simons-Higgs system in noncommutative space, for non-relativistic and relativistic models. In both cases we find regular vortex-like solutions to the BPS equations which approach the ordinary selfdual non-topological and topological solitons when he noncommutative parameter θ goes to zero. Associated with CONICET Associated with CICBA
متن کامل