Maxwell's Theory on Non-Commutative Spaces and Quaternions
| dc.creator | Kruglov, S. I. | |
| dc.date | 2001-10-06 | |
| dc.date | 2001-11-24 | |
| dc.date.accessioned | 2026-07-07T04:12:28Z | |
| dc.date.available | 2026-07-07T04:12:28Z | |
| dc.description | 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. | |
| dc.description | 15 pages, LaTeX, typos corrected, submitted to Annales de la Fondation Louis de Broglie | |
| dc.identifier | https://arxiv.org/abs/hep-th/0110059 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0110059 | |
| dc.identifier | Annales Fond.Broglie 27 (2002) 343-358 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50917 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Maxwell's Theory on Non-Commutative Spaces and Quaternions | |
| dc.type | text |