Maxwell ’ S Theory on Non - Commutative Spaces and Quaternions
نویسنده
چکیده
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 (quater-nion) 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 ten-sor was obtained in electrodynamics on non-commutative spaces. It was noted that the dual transformations of electromagnetic fields on non-commutative spaces are broken.
منابع مشابه
ar X iv : h ep - t h / 01 10 05 9 v 1 6 O ct 2 00 1 MAXWELL ’ S THEORY ON NON - COMMUTATIVE SPACES AND QUATERNIONS
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 (quater-nion) form. We found the symmetric energy-momentum tensor and its non-zero trace. So, the trace anomaly of the energy-momentum tensor was obtained in electrodynamics on non-commutative spaces. It was noted...
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