Triality, biquaternion and vector representation of the Dirac equation
نویسندگان
چکیده
منابع مشابه
Triality, Biquaternion and Vector Representation of the Dirac Equation
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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Triality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field
It is proved that there exist a vector representation of Dirac’s spinor field and in one sense it is equivalent to biquaternion (i.e. complexified quaternion) representation. This can be considered as a generalization of Cartan’s idea of triality to Dirac’s spinors. In the vector representation the first order Dirac Lagrangian is dual equivalent to the two order Lagrangian of topologically mass...
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ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2002
ISSN: 0188-7009,1661-4909
DOI: 10.1007/bf03161242