Relativistic Corrections to the Moyal-Weyl Spacetime
Abstract
We define a coordinate operator in a QFT-fashion to obtain by a deformation procedure a relativistic Moyal-Weyl spacetime. The idea is extracted from recent progress in deformation theory concerning the emergence of the quantum plane of the Landau-quantization. The obtained spacetime is not equal to the standard Moyal-Weyl plane but relativistic corrections occur.
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