Vortex solutions in axial or chiral coupled non-relativistic spinor- Chern-Simons theory

Details Vortex solutions in axial or chiral coupled non-relativistic spinor- Chern-Simons theory Vortex solutions in axial or chiral coupled non-relativistic spinor- Chern-Simons theory

1997-03-26

arxiv.org/abs/hep-th/9703184v1

Phys.Rev.D56:5066-5070,1997

Physics

High Energy Physics

High Energy Physics - Theory

Plain TEX, 10 pages

Scientific paper

10.1103/PhysRevD.56.5066

The interaction of a spin 1/2 particle (described by the non-relativistic "Dirac" equation of L\'evy-Leblond) with Chern-Simons gauge fields is studied. It is shown, that similarly to the four dimensional spinor models, there is a consistent possibility of coupling them also by axial or chiral type currents. Static self dual vortex solutions together with a vortex-lattice are found with the new couplings.

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