Maxwell's Theory on Non-Commutative Spaces and Quaternions

S. I. Kruglov

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arXiv · hep-th/0110059

Maxwell's Theory on Non-Commutative Spaces and Quaternions

S. I. Kruglov

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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.

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S. I. Kruglov. 2001-11-24. Maxwell's Theory on Non-Commutative Spaces and Quaternions. https://arxiv.org/abs/hep-th/0110059

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