We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu -JonaLasinio model. The resulting theory contains two parameters: average low-energy value of α s and current light quark mass m 0 . All other low-energy parameters: the pion decay constant, mass of the π-meson, mass of the σ-meson and its width, the constituent quark mass, the quark condensate are expressed in terms of the two input parameters in satisfactory correspondence to experimental data and chiral phenomenology. E.g. in the approximation being used we have for α s = 0.67 and m 0 = 20 MeV : f π = 93 MeV, m π = 135 MeV, m σ = 492 MeV, Γ σ = 574 MeV, m q = 295 MeV, = −(222 MeV ) 3 .

No abstract

In previous works effective non-local SU(2) × SU(2) NJL model was derived in the framework of the fundamental QCD. All the parameters of the model are expressed through QCD parameters: current light quark mass m 0 and average non-perturbative α s . The results for scalar and pseudo-scalar mesons are in satisfactory agreement to existing data. In the present work the same model without introduction of any additional parameters is applied for a description of masses and strong decay widths of ρ-and a 1 -mesons. The results for both scalar and vector sectors agree with data with only one adjusted parameter m 0 , with account of average α s ≃ 0.415, which is obtained in a previous work as well.

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 2 W ) ≃ 0.62 in satisfactory agreement to the 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 oft t condensate as a source of the electro-weak symmetry break-

The recently reported CDF excess at 120 − 160 GeV in invariant mass distribution of jet pairs accompanying W -boson [1] is tentatively interpreted as a bound state of two W decaying to quarkanti-quark pair. Non-perturbative effects of EW interaction obtained by application of Bogoliubov compensation approach lead to such bound state due to existence of anomalous three-boson gaugeinvariant effective interaction. The application of this scheme gives satisfactory agreement with existing data without any adjusting parameter but the bound state mass 145 GeV .