Nonrelativistic Chern-Simons theory for the repulsive Bose gas

Mar 14, 1994
4 pages
Published in:
  • Phys.Rev.Lett. 72 (1994) 1575-1579
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Abstract:
We propose a new nonrelativistic Chern-Simons theory based on a simple modification of the standard Lagrangian. This admits asymptotically nonvanishing field configurations and is applicable to the description of systems of repulsive bosons. The new model supports topological vortices and has a self-dual limit, both in the pure Chern-Simons and in the mixed Chern-Simons-Maxwell cases. The analysis is based on a new formulation of the Chern-Simons theories as constrained Hamiltonian systems.
  • boson: gas
  • Chern-Simons term: nonrelativistic
  • vortex
  • Hamiltonian formalism: constraint
  • Schroedinger equation: nonlinear
  • gauge field theory: abelian
  • condensation