Chern-Simons vortices in an open system

Details Chern-Simons vortices in an open system Chern-Simons vortices in an open system

1995-05-02

arxiv.org/abs/hep-th/9505013v1

Phys.Rev. D52 (1995) 1165-1168

Physics

High Energy Physics

High Energy Physics - Theory

To appear in phys rev D15

Scientific paper

10.1103/PhysRevD.52.1165

A gauge invariant quantum field theory with a spacetime dependent Chern-Simons coefficient is studied. Using a constraint formalism together with the Schwinger action principle it is shown that non-zero gradients in the coefficient induce magnetic-moment corrections to the Hall current and transform vortex singularities into non-local objects. The fundamental commutator for the density fluctuations is obtained from the action principle and the Hamiltonian of the Chern-Simons field is shown to vanish only under the restricted class of variations which satisfy the gauge invariance constraint.

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