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arXiv · hep-th/9510114

Spinors in non-relativistic Chern-Simons electrodynamics

C. Duval·P. A. Horváthy·L. Palla
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Abstract

It is shown that the non-relativistic `Dirac' equation of Lévy-Leblond, we used recently to describe a spin $1/2$ field interacting non-relativistically with a Chern-Simons gauge field, can be obtained by lightlike reduction from $3+1$ dimensions. This allows us to prove that the system is Schrödinger symmetric. A spinor representation of the Schrödinger group is presented. Static, self-dual solutions, describing spinor vortices are given and shown to be the non-relativistic limits of the fermionic vortices found by Cho et al. The construction is extended to external harmonic and uniform magnetic fields.

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C. Duval, P. A. Horváthy, L. Palla. 1995-10-17. Spinors in non-relativistic Chern-Simons electrodynamics. https://doi.org/10.1006/aphy.1996.0071

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