Triality, Biquaternion and Vector Representation of the Dirac Equation
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0109008,
title = {Triality, Biquaternion and Vector Representation of the Dirac Equation},
author = {Liu Yu-Fen},
journal= {arXiv preprint arXiv:math-ph/0109008},
year = {2007}
}
Comments
18 pages