Titre du document / Document title

Triality, biquaternion and vector representation of the Dirac equation

Auteur(s) / Author(s)

YU-FEN Liu ;

Résumé / Abstract

The triality properties of Dirac spinors are studied, including a construction of the algebra of (complexified) biquaternion. A bilinear law of composition for biquaternion is defined by means of Levi-civita symbol and Lorentzian metric only. It is proved that there exists a vector-representation of Dirac spinors. The massive Dirac equation in the vector-representation is actually self-dual. A chiral transformations for spinors is equivalent to U(1) transformations for corresponding complex vectors. The Dirac's idea of non-integrable phases is used to study the behavior of massive term.

Revue / Journal Title

Advances in applied Clifford algebras   ISSN 0188-7009 

Source / Source

2002, vol. 12, n^o2, pp. 109-124 [16 page(s) (article)]

Langue / Language

Anglais

Editeur / Publisher

Springer, Heidelberg, ALLEMAGNE  (1991) (Revue)

Localisation / Location

INIST-CNRS, Cote INIST : 26225, 35400011372951.0020