Invalid Ward - Takahashi identities and broken unitarity of the SM Bing
نویسنده
چکیده
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.
منابع مشابه
ar X iv : h ep - p h / 02 12 06 5 v 1 4 D ec 2 00 2 Broken unitarity of the SM and a new theory of EW Interactions ∗ Bing
It is shown that in an axial-vector field theory the axial-vector field is always accompanied by a spin-0 field which has negative metric. Therefore, unitarity is broken. The same results are found in a theory of charged vector fields which are coupled to two fermions whose masses are different. These results are applied to the SM. It is found that both Z and W fields contain spin-0 component. ...
متن کاملFinite-Temperature Supersymmetry: The Wess-Zumino Model
We investigate the breakdown of supersymmetry at finite temperature. While it has been proven that temperature always breaks supersymmetry, the nature of this breaking is less clear. On the one hand, a study of the Ward-Takahashi identities suggests a spontaneous breakdown of supersymmetry without the existence of a Goldstino, while on the other hand it has been shown that in any supersymmetric...
متن کاملGoldstone Realization of Lorentz-symmetry and Supersymmetry at Finite Temperature*
The Ward-Takahashi identities of Lorentz symmetry are examined at finite temperature. It is shown that the Lorentz symmetry is broken with the Goldstone realization. The analogy with finite-temperature supersymmetry-breaking in an R-invariant model is explained. Submitted to Physics Letters B * Work supported by the Department of Energy, contract DE AC03 76SF00515. The supersymmetry has been kn...
متن کاملWard Identities for Interacting Electronic Systems
A Ward-Takahashi identity, as a consequence of gauge invariance and in a form that relates self-energy to the two-particle Bethe-Salpeter scattering kernel, was first derived by Vollhardt and Wölfle for a system of independent particles moving in a random medium. This is generalized to a class of interacting electronic systems in materials with or without random impurities, following a procedur...
متن کاملpropagators in spontaneously broken gauge theories
Contrary to common belief, the longitudinal vector meson and scalar meson propagators have very different forms in spontaneously broken gauge theories. We choose the Abelian-Higgs model as an example and show that the longitudinal vector meson and scalar meson propagators have double poles by an extensive use of the Ward-Takahashi identities. PACS numbers: 11.15.-q, 11.30.Qc, 12.15.-y Typeset u...
متن کامل