Chern-Simons vortices in an open system
High Energy Physics - Theory
2009-10-28 v1 Condensed Matter
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.
Cite
@article{arxiv.hep-th/9505013,
title = {Chern-Simons vortices in an open system},
author = {Mark Burgess},
journal= {arXiv preprint arXiv:hep-th/9505013},
year = {2009}
}
Comments
To appear in phys rev D15