Self-dual vortices in the generalized Abelian Higgs model with independent Chern-Simons interaction

Journal Article · Fri Jan 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.673· OSTI ID:6832654

Kim, C ^[1]

---

1. Department of Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)

Self-dual vortex solutions are studied in detail in the generalized Abelian Higgs model with an 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 the Chern-Simons-Higgs model with two scalar fields in an asymmetric phase, we prove the existence of multisoliton solutions which can be viewed as hybrids of Chern-Simons vortices and CP[sup 1] lumps. We also discuss solutions in a symmetric phase with the help of the corresponding exact solutions in its nonrelativistic limit. The model interpolating all three models---Maxwell-Higgs, Chern-Simons-Higgs, and CP[sup 1] models---is discussed briefly. Finally, we study the possibility of vortex solutions with half-integer vorticity in the special case of the model. Numerical results are negative.

• OSTI ID: 6832654
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CP INVARIANCE
DUALITY
ELECTROMAGNETIC FIELDS
FUNCTIONS
GAUGE INVARIANCE
GINZBURG-LANDAU THEORY
HIGGS MODEL
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUASI PARTICLES
SCALAR FIELDS
SOLITONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
VORTICES