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Bogoliubov compensation approach in QCD and in the electro-weak theory

A. B. ArbuzovSkobeltsyn Institute of Nuclear Physics of MSU, 119991, Moscow, RussiaM. K. VolkovJoint Institute for Nuclear Research, 141980, Dubna, Russia
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Аннотация

We describe application of Bogoliubov compensation principle to calculation of non-perturbative contribution in the electroweak theory and QCD. We obtain unique solutions of compensation equations, which impose strong restrictions on parameters of theories and on functional dependence of corresponding form-factors. We calculate value of running gauge electroweak coupling $\alpha_w(M_W)=0.0374$, that differs from the experimental value less than by 10%. We derive effective Nambu-Jona-Lasinio interaction from fundamental QCD and express its parameters in terms of initial QCD parameters: $\alpha_s$ at low-momenta and current mass of light quarks. This leads to satisfactory description of low-mass hadron physics.

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