TY - JOUR
T1 - Electrically and magnetically charged vortices in the Chern-Simons-Higgs theory
AU - Chen, Robin Ming
AU - Guo, Yujin
AU - Spirn, Daniel
AU - Yang, Yisong
PY - 2009/11/8
Y1 - 2009/11/8
N2 - In this paper, we prove the existence of finite-energy electrically and magnetically charged vortex solutions in the full Chern-Simons-Higgs theory, for which both the Maxwell term and the Chern-Simons term are present in the Lagrangian density. We consider both Abelian and non-Abelian cases. The solutions are smooth and satisfy natural boundary conditions. Existence is established via a constrained minimization procedure applied on indefinite action functionals. This work settles a long-standing open problem concerning the existence of dually charged vortices in the classical gauge field Higgs model minimally extended to contain a Chern-Simons term.
AB - In this paper, we prove the existence of finite-energy electrically and magnetically charged vortex solutions in the full Chern-Simons-Higgs theory, for which both the Maxwell term and the Chern-Simons term are present in the Lagrangian density. We consider both Abelian and non-Abelian cases. The solutions are smooth and satisfy natural boundary conditions. Existence is established via a constrained minimization procedure applied on indefinite action functionals. This work settles a long-standing open problem concerning the existence of dually charged vortices in the classical gauge field Higgs model minimally extended to contain a Chern-Simons term.
KW - Abelian and non-Abelian gauge theory
KW - Chern-simons-higgs vortices
KW - Constraint minimization
UR - http://www.scopus.com/inward/record.url?scp=73149115251&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=73149115251&partnerID=8YFLogxK
U2 - 10.1098/rspa.2009.0200
DO - 10.1098/rspa.2009.0200
M3 - Article
AN - SCOPUS:73149115251
SN - 1364-5021
VL - 465
SP - 3489
EP - 3516
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2111
ER -