On the Chern-Simons Gauge Field

D. G. Barci; L. E. Oxman

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arXiv · hep-th/9503100

On the Chern-Simons Gauge Field

D. G. Barci·L. E. Oxman

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Abstract

We show the relationship between a fluid of particles having charge and magnetic moment in $2+1$ dimensional electromagnetism and the Chern-Simons statistical field. The matter current which is minimally coupled to the electromagnetic field has two parts: the global electromagnetic current, and the corresponding topological current. The topological current is associated to the induced electromagnetic current, via a simple constitutive relation between charges and magnetic moments. We also study the edge states, when the region that the currents occupy is bounded.

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D. G. Barci, L. E. Oxman. 1995-03-15. On the Chern-Simons Gauge Field. https://arxiv.org/abs/hep-th/9503100

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