Canonical Functional Quantization of Pseudo-Photons in Planar Systems

P. Castelo Ferreira

doi:10.1063/1.2958165

paper

Canonical Functional Quantization of Pseudo-Photons in Planar Systems

arXiv:0712.0710 · doi:10.1063/1.2958165

Abstract

Extended $U_{e} (1) \times U_{g} (1)$ electromagnetism containing both a photon and a pseudo-photon is introduced at variational level and is justified by the violation of the Bianchi identities in conceptual systems, either in the presence of magnetic monopoles or non-regular external fields, not being accounted by the standard Maxwell Lagrangian. It is carried a dimensional reduction that renders a $U_{e} (1) \times U_{g} (1)$ Maxwell-BF type theory and it is considered canonical functional quantization in planar systems which may be relevant in Hall systems.

5 pages; 1 figure; submitted to Proceedings of XVI International Fall Workshop on Geometry and Physics; http://www.math.ist.utl.pt/~xvi-iwgp/talks/PedroCasteloF.pdf; v2: derivatives on equation (10) corrected