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Mark Burgess

Publications and source records attributed to Mark Burgess.

39 records · Page 3Linked to original sources

Chern-Simons vortices in an open system

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.

hep-th↗

Boundaries and junctions in two parity violating models in 2+1 dimensions

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller investigation of two related parity violating effective Lagrangians, which possess a kind of duality. It is shown that gauge invariance and energy conservation are sufficient to determine the behaviour at the interface. This leads to modifications of normal parity-violating electrodynamics. The coupling of an interface to an external system is a natural solution to the deficiencies of Maxwell-Chern-Simons theory. A heuristic model of a transistor-like device is discussed which relates to recent experiments in device technology. Radiative corrections to Chern-Simons theory induce a local magnetic moment interaction whose lagrangian is everywhere gauge invariant. The effects of this interaction are compared to Maxwell-Chern-Simons theory. The dispersion of classical waves for these models is computed and the laws of reflection and refraction are found to hold despite the lack of $P$ and $T$ invariance. The magnetic moment dispersion is gapless in contrast to the Chern-Simons dispersion except in the case of a scalar field which is covariantly constant. Both models exhibit optical activity (Faraday effect).

cond-mat↗