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Prog. Theor. Phys. Vol. 41 No. 1 (1969) pp. 264-268
Clifford Algebra and Massless Particles
T. S. Santhanam and
P. S. Chandrasekaran
MATSCIENCE, The Institute of Mathematical Sciences, Madras-20, India
(Received July 29, 1968)
Abstract:
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 Cn of order 2n 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 involving five anticommuting matrices one occurring 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.
URL :
http://ptp.ipap.jp/link?PTP/41/264/
DOI : 10.1143/PTP.41.264
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