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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
ABI

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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