Canonical Functional Quantization of Pseudo-Photons in Planar Systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages; 1 figure; submitted to Proceedings of XVI International Fall Workshop on Geometry and Physics; http://www.math.ist.

Scientific paper

10.1063/1.2958165

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.

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