More on scattering of Chern-Simons vortices

Abstract

I derive a general formalism for finding kinetic terms of the effective Lagrangian for slowly moving Chern-Simons vortices. Deformations of fields linear in velocities are taken into account. From the equations they must satisfy I extract the kinetic term in the limit of coincident vortices. For vortices passing one over the other there is locally the right-angle scattering. The method is based on analysis of field equations instead of action functional so it may be useful also for nonvariational equations in nonrelativistic models of Condensed Matter Physics.

discussion around Eq.(45) is generalised, one more condition for the local right-angle scattering is added

References in corpus (8)

• Vortex Dynamics in Selfdual Maxwell-Higgs Systems with Uniform Background Electric Charge Density
• Self-DUal SU(3) Chern-Simons Higgs Systems
• Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
• Low energy dynamics of U(1)^{N} Chern-Simons solitons
• Thermodynamics of Vortices in the Plane
• Chern-Simons Soliton Dynamics in Modular Parameter Space
• Phase Transitions in a Vortex Gas
• Only hybrid anyons can exist in broken symmetry phase of nonrelativistic $U(1{)}^2$ Chern-Simons theory

Cited by in corpus (9)

• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• First and Second Order Vortex Dynamics
• Scattering of kinks in the $B{\phi }^4$ model
• Time dependent solitons of noncommutative Chern-Simons theory coupled to scalar fields
• Vortices in superconducting films - statistics and fractional quantum Hall effect
• Integrability in Theories with Local U(1) Gauge Symmetry
• Abelian Chern-Simons vortices in the presence of magnetic impurities
• Einstein-Infeld-Hoffman method and soliton dynamics in a parity noninvariant system