Non-perturbative solutions in the electro-weak theory with $\bar t t$ condensate and the $t$-quark mass
We apply Bogoliubov compensation principle to the gauge electro-weak interaction to demonstrate a spontaneous generation of anomalous three-boson gauge invariant effective interaction. The non-trivial solution of compensation equations uniquely defines the form-factor of the anomalous interaction an...
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Zusammenfassung: | We apply Bogoliubov compensation principle to the gauge electro-weak
interaction to demonstrate a spontaneous generation of anomalous three-boson
gauge invariant effective interaction. The non-trivial solution of compensation
equations uniquely defines the form-factor of the anomalous interaction and
parameters of the theory including value of gauge electro-weak coupling
$g(M_W^2)$ in satisfactory agreement with its experimental value. A possibility
of spontaneous generation of effective four-fermion interaction of heavy quarks
is also demonstrated. This interaction defines an equation for a scalar bound
state of heavy quarks which serve as a substitute for the elementary scalar
Higgs doublet. As a result we calculate the $t$-quark mass $m_t\,=\,177\,GeV$
in satisfactory agreement with the experimental value. The results strongly
support idea of $\bar t\,t$ condensate as a source of the electro-weak symmetry
breaking. |
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DOI: | 10.48550/arxiv.1107.5164 |