Abstract
A simple modification of the Dirac algebra yields the q-deformed version corresponding to the framework of quantized Minkowski space. The method of deriving R̂-matrix relations for Minkowski coordinates, differentials, derivatives, and γ-matrices is explained. Taking a suitable conjugation structure on the derivatives and q-Dirac matrices allows for a q-analog of the Dirac equation that iterates to a Klein-Gordon equation. Its covariance is shown.
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Schirrmacher, A. (1993). Quantum Groups, Quantum Spacetime, and Dirac Equation. In: Osborn, H. (eds) Low-Dimensional Topology and Quantum Field Theory. NATO ASI Series, vol 315. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1612-9_20
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DOI: https://doi.org/10.1007/978-1-4899-1612-9_20
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