81 research outputs found
Scalar Spin of Elementary Fermions
We show that, using the experimentally observed values of CKM and PMNS mixing
matrices, all known elementary fermions can be assigned a new quantum number,
the scalar spin, in a unique way. This is achieved without introduction of new
degrees of freedom. The assignment implies that tau-neutrino should be an
anti-Dirac spinor, while mu-tau leptons and charm-top, strange-bottom quarks
form Dirac-anti-Dirac scalar spin doublets. The electron and its neutrino
remain as originally described by Dirac.Comment: 19 pages. The version accepted to Physics Letters
Mass Mixing, the Fourth Generation, and the Kinematic Higgs Mechanism
We describe how to construct chiral fermion mass terms using Dirac-Kahler
(DK) spinors. Classical massive DK spinors are shown to be equivalent to four
generations of Dirac spinors with equal mass coupled to a background U(2,2)
gauge field. Quantization breaks U(2,2) to U(2)xU(2), lifts mass spectrum
degeneracy, and generates a non-trivial mass mixing matrix.Comment: 12 pages. No figures. Phys Lett B version. Minor typos fixe
The Spectrum of the 4-Generation Dirac-Kaehler Extension of the SM
We compute the mass spectrum of the fermionic sector of the Dirac-Kaehler
extension of the SM (DK-SM) by showing that there exists a Bogoliubov
transformation that transforms the DK-SM into a flavor U(4) extension of the SM
(SM-4) with a particular choice of masses and mixing textures. Mass relations
of the model allow determination of masses of the 4th generation. Tree level
prediction for the mass of the 4th charged lepton is 370 GeV. The model selects
the normal hierarchy for neutrino masses and reproduces naturally the near
tri-bimaximal and quark mixing textures. The electron neutrino and the 4th
neutrino masses are related via a see-saw-like mechanism.Comment: 14 pages. Phys Lett B versio
Scalar Supersymmetry
We describe a new realization of supersymmetry, called scalar supersymmetry,
acting in spaces of differential forms (bi-spinors), where transformation
parameters are Lorentz scalars instead of spinors. The realization is related
but is not reducible to the standard supersymmetry. Explicit construction of
chiral multiplets that do not require doubling of the spectrum of a gauge
theory is presented. A bi-spinor s-supersymmetric string action is described.Comment: 19 pages. The version that appeared in Physics Letters B plus
Appendix A that contains a discussion that was judged to be too controversial
by one of the referee
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