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arXiv · 1107.5164

Non-perturbative solutions in the electro-weak theory with $\bar t t$ condensate and the $t$-quark mass

Boris A. Arbuzov·Ivan V. Zaitsev
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Abstract

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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Boris A. Arbuzov, Ivan V. Zaitsev. 2011-07-26. Non-perturbative solutions in the electro-weak theory with $\bar t t$ condensate and the $t$-quark mass. https://doi.org/10.1142/s0217751x11054784

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