An analysis of Fierz identities, factorization and inversion theorems

Journal Article · Sun Oct 31 23:00:00 EST 1993 · Foundations of Physics; (United States)

DOI:https://doi.org/10.1007/BF01243945· OSTI ID:7271418

Rodriguez-Romo, S ^[1]

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1. UCL, Louvain-la-Neuve (Belgium)

The author shows that the full set of Fierz identities which are used to computer electroweak interactions reported by Y. Takahashi can be considered as particular cases of the Clifford product between multivector Cartan maps. Moreover, the author thinks that the approach can be generalized to higher-dimensional models. The author discusses the factorization and inversion theorems for the recovery of the spinor from its multivectorial Cartan map. A new classification given by P. Lounesto is applied to the recovered spinors for Cl[sub 1,3] space-time symmetry and SU(2) x U(1) isotopic group. 6 refs.

• OSTI ID: 7271418
• Journal Information: Foundations of Physics; (United States), Journal Name: Foundations of Physics; (United States) Vol. 23:11; ISSN 0015-9018; ISSN FNDPA4
• Country of Publication: United States
• Language: English

Related Subjects

662200* -- Specific Theories & Interaction Models
662310 -- Weak & Electromagnetic Interactions of Leptons-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CLIFFORD ALGEBRA
ELECTROMAGNETIC INTERACTIONS
FACTORIZATION
FIERZ-PAULI THEORY
INTERACTIONS
LIE GROUPS
Pa
Particle Systematics-- (1992-)
SPINORS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WEAK INTERACTIONS