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arXiv · hep-th/9505013

Chern-Simons vortices in an open system

Mark Burgess
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Abstract

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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Mark Burgess. 1995-05-02. Chern-Simons vortices in an open system. https://doi.org/10.1103/physrevd.52.1165

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