Clifford, Dirac, and Majorana algebras, and their representations

Conference · Tue Mar 31 23:00:00 EST 1981 · Hadronic J.; (United States)

OSTI ID:6937776

Salingaros, N

We show that the Dirac algebra is an algebra in five dimensions. It has traditionally been confused with the two distinct algebras in four dimensions, which we have identified as the Majorana algebra and the Clifford algebra in Minkowski space-time. A careful discussion of the subtle inter-relationship between these three algebras is achieved by employing a basis of differential forms. In addition, we provide for the first time a 4 x 4 complex matrix representation of the Clifford algebra in Minkowski spacetime, and compare it to the matrix representations of the Dirac and Majorana algebras. A remark on Eddington's E-numbers is included.

• Research Organization: Univ. of Crete, Greece
• OSTI ID: 6937776
• Report Number(s): CONF-8008162-
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 4:3; ISSN HAJOD
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
DIMENSIONS
FIELD THEORIES
MATHEMATICAL SPACE
MATRICES
MINKOWSKI SPACE
QUANTUM FIELD THEORY
SPACE