Bogoliubov compensation principle in the EW interactionWe 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 values of parameters of the theory and the formfactor of the anomalous interaction. The contribution of this interaction to running EW coupling α ew (p 2 ) gives its observable value α ew (M 2 W ) = 0.0374 in satisfactory agreement to the experiment. The anomalous three-boson interaction gives natural explanation of the well-known discrepancy in muon g − 2.The implications for EW studies at Tevatron and LHC are briefly discussed.
It is shown, that the possibility of a freezing of QCD running coupling constant at zero in the approach with "forced analyticity" can not be in accord with Schwinger-Dyson equation for gluon propagator. We propose to add to the analytic expression the well-known infrared singular term 1/q 2 as well as pole term corresponding to "excited gluon". With this example we formulate the principle of minimality of nonperturbative contributions in perturbative (ultraviolet) region, which allows us to fix ambiguities in introduction of nonperturbative terms and maintain the finiteness of the gluon condensate. As a result we obtain estimates of the gluon condensate, which quite agree with existing data. The nonzero effective mass of the "excited gluon" leads also to some interesting qualitative consequences.
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