9 citations · 29 across the 11 of their papers we have counts for
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Unified description of quarks and leptons in a multi-spinor field formalism
Ikuo S. Sogami
Multi-spinor fields which behave as triple-tensor products of the Dirac spinors and form reducible representations of the Lorentz group describe three families of ordinary quarks a…
Algebraic description of external and internal attributes of fundamental fermions
Ikuo S. Sogami
To describe external and internal attributes of fundamental fermions, a theory of multi-spinor fields is developed on an algebra, a {\it triplet algebra}, which consists of all the…
Unified theory for external and internal attributes and symmetries of fundamental fermions
Ikuo S. Sogami
An unorthodox unified theory is developed to describe external and internal attributes and symmetries of fundamental fermions, quarks and leptons. Basic ingredients of the theory a…
Gauge Field Theory Of Horizontal Su(2) X U(1) Symmetry - Doublet Plus Singlet Scheme
Ikuo S. Sogami
Gauge field theory of a horizontal symmetry of the group G = SU(2) X U(1) is developed so as to generalize the standard model of particle physics. All fermion and scalar fields are…
Dirac Mass Matrices in Gauge Field Theory of Horizontal Symmetry
Yasufumi Konishi, Ikuo S. Sogami
We investigate Dirac mass matrices derived in the gauge field theory of a horizontal symmetry generated by a central extension of the Pauli algebra. Through numerical analyses of t…
Gauge Field Theory of Horizontal Symmetry Generated by a Central Extension of the Pauli Algebra
Ikuo S. Sogami
The standard model of particle physics is generalized so as to be furnished with a horizontal symmetry generated by an intermediary algebra between simple Lie algebras $\mathfrak{s…