MSc Theses' Abstracts

The Role of Grassmann Variables in Field Theory and Particle Physics

Jusak Sali Kosasih, 1994.

An alternative formulation of $SU(2)_{L} \times U(1)_{Y}$ electroweak theory is presented in which four extra real Grassmann coordinates are appended to space-time coordinates. One family of lepton and its neutrino is imbedded in one Lorentz spinor bosonic superfield and the Higgs fields are imbedded in another Lorentz scalar bosonic superfield. The correct standard form of Yukawa interaction appears from a trilinear interaction of these superfields, but the spontaneously symmetry breaking cannot be reproduced from the analogous quartic super-Higgs potential. The $SU(2)_{L} \times U(1)_{Y}$ multiplet structure can be assigned to the component fields by introducing the corresponding generators acting in Grassmann manifold.

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