Maxwell's Theory on Non-Commutative Spaces and Quaternions
Abstract
The Maxwell theory on non-commutative spaces has been considered. The non-linear equations of electromagnetic fields on non-commutative spaces were obtained in the compact spin-tensor (quaternion) form. It was shown that the plane electromagnetic wave is the solution of the system of non-linear wave equations of the second order for the electric and magnetic induction fields. We have found the canonical and symmetrical energy-momentum tensors and their non-zero traces. So, the trace anomaly of the energy-momentum tensor was obtained in electrodynamics on non-commutative spaces. It was noted that the dual transformations of electromagnetic fields on non-commutative spaces are broken.
Keywords
Cite
@article{arxiv.hep-th/0110059,
title = {Maxwell's Theory on Non-Commutative Spaces and Quaternions},
author = {S. I. Kruglov},
journal= {arXiv preprint arXiv:hep-th/0110059},
year = {2007}
}
Comments
15 pages, LaTeX, typos corrected, submitted to Annales de la Fondation Louis de Broglie