Bogomol'nyi equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs model

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5458· OSTI ID:7280994

Ghosh, P K ^[1]

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1. Institute of Physics, Bhubaneswar-751005 (India)

We consider a generalization of the Abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate a nonminimal interaction by considering a generalized covariant derivative. We show that for a particular choice of the dielectric function this model admits both topological as well as nontopological charged vortices satisfying the Bogomol'nyi bound for which the magnetic flux, charge, and angular momentum are not quantized. However, the energy for the topological vortices is quantized and in each sector these topological vortex solutions are infinitely degenerate. In the nonrelativistic limit, this model admits static self-dual soliton solutions with a nonzero finite energy configuration. For the whole class of dielectric function for which the nontopological vortices exist in the relativistic theory, the charge density satisfies the same Liouville equation in the nonrelativistic limit.

• OSTI ID: 7280994
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHARGE DENSITY
CHARGES
ENERGY
FUNCTIONS
HIGGS MODEL
KINETIC ENERGY
LAGRANGIAN FUNCTION
MAGNETIC FLUX
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTIZATION
QUASI PARTICLES
SOLITONS
VORTICES