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Electronic Journal of Theoretical Physics Landau-Ginzburg Chern-Simons model with Ue(1) × Ug(1) Gauge Symmetry and Internal Pseudo-Photons (2011)
BibTeX
@MISC{Ferreira11electronicjournal,
author = {P. Castelo Ferreira and Grupo Física},
title = {Electronic Journal of Theoretical Physics Landau-Ginzburg Chern-Simons model with Ue(1) × Ug(1) Gauge Symmetry and Internal Pseudo-Photons},
year = {2011}
}
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Abstract
Abstract: In this article it is studied, at variational level, a mathematical setup given by the Landau-Ginzburg Chern-Simons model for anyons in 2+1-dimensions within the framework of dimensional reduced Ue(1) × Ug(1) extended electromagnetism with both vector gauge fields (photons) and pseudo-vector gauge fields (pseudo-photons) such that both magnetic and electric vortexes coexist in the planar system. This model exhibits explicit planar P and T discrete symmetries being the Hall conductivity consistently a tensor and the Dirac quantization on the electric and magnetic coupling constants is equivalent to the quantization of magnetic flux. It is also discussed a thickening to 4-dimensions of the model with explicit 4-dimensional P violation which allows either for electric and magnetic charge separation, either for the Meissner effect. Although mathematically consistent, the electromagnetic field content for this model does not coincide with the standard Hall effect being present an extra orthogonal electric and longitudinal magnetic fields. c ○ Electronic Journal of Theoretical Physics. All rights reserved.
Keyphrases
electronic journal internal pseudo-photons gauge symmetry theoretical physic landau-ginzburg chern-simons model variational level vector gauge field longitudinal magnetic field planar system magnetic charge separation mathematical setup discrete symmetry pseudo-vector gauge field meissner effect electric vortex coexist extra orthogonal electric magnetic flux theoretical physic magnetic coupling constant electromagnetic field content explicit planar standard hall effect explicit 4-dimensional violation landau-ginzburg chern-simons model hall conductivity dirac quantization
