Triality, Biquaternion and Vector Representation of the Dirac Equation

Details Triality, Biquaternion and Vector Representation of the Dirac Equation Triality, Biquaternion and Vector Representation of the Dirac Equation

2001-09-06

arxiv.org/abs/math-ph/0109008v1

Physics

Mathematical Physics

18 pages

Scientific paper

The triality properties of Dirac spinors are studied, including a
construction of the algebra of (complexified) biquaternion. It is proved that
there exists a vector-representation of Dirac spinors. The massive Dirac
equation in the vector-representation is actually self-dual. The Dirac's idea
of non-integrable phases is used to study the behavior of massive term.

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