Vortex dynamics in self-dual Chern-Simons-Higgs systems

Journal Article · Tue Feb 15 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.2041· OSTI ID:5322416

Kim, Y ^[1]; Lee, K ^[2]

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1. Physics Department, Columbia University, New York, New York 10027 (United States)
2. Theory Division, CERN, CH-1211 Geneva 23 (Switzerland)

We consider vortex dynamics in self-dual Chern-Simons-Higgs systems. We show that the naive Aharonov-Bohm phase is the inverse of the statistical phase expected from the vortex spin, and that the self-dual configurations of vortices are degenerate in energy but not in angular momentum. We also use the path integral formalism to derive the dual formulation of Chern-Simons-Higgs systems in which vortices appear as charged particles. We argue that in addition to the electromagnetic interaction, there is an additional interaction between vortices, the so-called Magnus force, and that these forces can be put together into a single dual electromagnetic'' interaction. This dual electromagnetic interaction leads to the right statistical phase. We also derive and study the effective action for slowly moving vortices, which contains terms both linear and quadratic in the vortex velocity. We show that vortices can be bounded to each other by the Magnus force.

• OSTI ID: 5322416
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:4; 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-)
665411 -- Basic Superconductivity Studies-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACTION INTEGRAL
AHARONOV-BOHM EFFECT
ANGULAR MOMENTUM
BASIC INTERACTIONS
CHARGED PARTICLES
ELECTROMAGNETIC INTERACTIONS
FEYNMAN PATH INTEGRAL
HIGGS MODEL
INTEGRALS
INTERACTIONS
MATHEMATICAL MODELS
PARTICLE MODELS
VORTICES