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An SU(4) Grassmannian model for particles

Kosasih, Jusak Sali 1998 , 'An SU(4) Grassmannian model for particles', PhD thesis, University of Tasmania.

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An alternative formulation of SU(3)c x SU(2)L, x U(1)y of the standard model is
presented in which four extra complex Grassmann coordinates are appended to
space-time coordinates. The three families of leptons and quarks are imbedded in
the fermionic sector of an overall bosonic superfield and the Higgs fields are imbedded
in the Lorentz scalar sector of the superfield. The SU(3) SU(2)L, x U(1) y
multiplet structure can be assigned to the component fields by introducing the
corresponding generators acting in Grassmann space and the V — A structure
of the weak current turns out as the result of the minimal fermionic representation.
The particle multiplets are anomaly-free but not asymptotically free
due to extra exotic states. The Yukawa interaction appears from the trilinear
interaction of the master superfield, but the spontaneously symmetry breaking
cannot be reproduced from the analogous quartic super-Higgs potential. Unfortunately,
the resulting mass spectrum of the standard particles (quarks and
leptons) cannot be reconciled with the experimental results. However the standard
SU(3) x SU(2) x U(1) gauge interaction can be reproduced for the minimal
gauge group. The 'extended' gauge group includes leptoquarks as well as interfamilial

Item Type: Thesis - PhD
Authors/Creators:Kosasih, Jusak Sali
Keywords: Particles (Nuclear physics), Quantum field theory, Standard model (Nuclear physics)
Copyright Holders: The Author
Additional Information:

Thesis (Ph.D.)--University of Tasmania, 1998. Includes bibliographical references

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