English

Canonical Functional Quantization of Pseudo-Photons in Planar Systems

High Energy Physics - Theory 2009-04-10 v2 Mathematical Physics math.MP

Abstract

Extended Ue(1)×Ug(1)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 Ue(1)×Ug(1)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.

Keywords

Cite

@article{arxiv.0712.0710,
  title  = {Canonical Functional Quantization of Pseudo-Photons in Planar Systems},
  author = {P. Castelo Ferreira},
  journal= {arXiv preprint arXiv:0712.0710},
  year   = {2009}
}

Comments

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