Conservation laws in a first-order dynamical system of vortices

N. S. Manton*, S. M. Nasir

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


The conservation laws for linear and angular momenta in a Schrödinger-Chern-Simons field theory modelling vortex dynamics in planar superconductors are studied. In analogy with fluid vortices it is possible to express the linear and angular momenta as low moments of vorticity. The conservation laws are shown to be consistent with those obtained in the moduli space approximation for vortex dynamics, valid close to the Bogomol'nyi limit. For Bogomol'nyi vortices, the relevant moments of vorticity can be evaluated fairly explicitly, as can the integral of log [ø]2, where ø is the scalar field. Conservation of angular momentum prevents a single vortex from escaping to infinity.

Original languageEnglish (US)
Pages (from-to)851-865
Number of pages15
Issue number4
StatePublished - Jul 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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