User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

An Analysis of Fierz identities, factorization and inversion theorems

Primary tabs

Rodriguez-Romo, S. [UCL]

(eng) We show that the full set of Fierz identities which are used to compute electro-weak interactions reported by Y. Takahashi can be considered as particular cases of the Clifford product between multivector Cartan maps. Moreover, we think that our approach can be generalized to higher-dimensional models. We discuss 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 Cl1,3 space-time symmetry and SU(2)×U(1) isotopic group.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1993
Journal information "Foundations of Physics : an international journal devoted to the conceptual bases and fundamental theories of modern physics" - Vol. 23, p. 1535-1542 (1993)
Publisher Springer New York LLC (New York)
issn 0015-9018
e-issn 1572-9516
Publication status Publié
Affiliation UCL
Links
  1. F. Reifler,J. Math. Phys. 25, 1088 (1984); E. Cartan,The Theory of Spinors (Hermann, Paris, 1966), Chap. 3, p. 41.
  2. J. Keller and S. Rodríguez-Romo,J. Math. Phys. 32(6), 1591 (1991).
  3. Y. Takahashi,J. Math. Phys. 24(7), 1783 (1983).
  4. J. P. Crawford,J. Math. Phys. 26(7), 1439 (1985).
  5. P. Lounesto, ?Clifford algebras and Hestenes spinors,?Found. Phys. 23, 1203 (1993)
  6. J. Keller and S. Rodríguez-Romo,Int. J. Theor. Phys. 30(2), 185 (1991).
Bibliographic reference Rodriguez-Romo, S.. An Analysis of Fierz identities, factorization and inversion theorems. In: Foundations of Physics : an international journal devoted to the conceptual bases and fundamental theories of modern physics, Vol. 23, p. 1535-1542 (1993)
Permanent URL http://hdl.handle.net/2078/31534