Clifford Algebra and Massless Particles

概要

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It is shown that an equation of a spin-half particle involving a complete set of mutually anticommuting (2n+1) matrices furnishing the representation of Clifford Algebra C_n of order 2^n can be reduced to the ordinary Dirac form involving only four anticommuting matrices when the particle is massive; in the case of massless particles it reduces to an equation in volving five anticommuting matrices one occuring in a singular idempotent combination with the unit matrix. It is further shown that the above two forms are connected by a singular idempotent operator.
理論物理学刊行会の論文
1969-01-25