Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-08-06
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages
Scientific paper
It is found that in the SM the Ward-Takahashi(WT) identities of the axial-vector currents and the charged vector currents of fermions are invalid after spontaneous symmetry breaking. The spin-0 components of Z and W fields are revealed from the invalidity of these WT identities. The masses of these spin-0 components are at $10^{14}$GeV. They are ghosts. Therefore, unitarity of the SM after spontaneous symmetry breaking is broken at $10^{14}$GeV.
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