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Lorentz Symmetry Breaking and Planar Effects from Non-Linear Electrodynamics | | Marcelo Botta Cantcheff
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27 Nov 2004 | | Subject: | High Energy Physics - Theory; Mesoscopic Systems and Quantum Hall Effect | hep-th cond-mat.mes-hall | | Abstract: | Hall effect, as other planar effects, is better understood by assuming an effective Maxwell-Chern-Simons theory of electromagnetism in three dimensions. However, this starting point is not completely well justified from some fundamental theory in four-dimensional spacetime observed at a macroscopical scale (i.e, the scale of electromagnetic interactions). In this paper, we propose a modification of the standard linear electrodynamics in four dimensions, which yields a main two-fold consequence: it provides a more realistic and general scenario for the breakdown of Lorentz symmetry in electromagnetism (i.e. presence of external fields or non-uniform matter distributions) and it may therefore explain the planar behavior. A number of proposals for non-linear Electrodynamics are discussed along the paper. A breaking of the Lorentz symmetry arising from a fundamental electromagnetism would have many important physical implications, optical birefringence and the possibility of having conductance in the vacuum are commented on. | | Source: | arXiv, hep-th/0411254 | | Services: | Forum | Review | PDF | Favorites | |
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