Bogoliubov compensation approach in QCD and in the electroweak theory

Abstract

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.

6 pages, no figures, talk presented at the International Bogolyubov Conference, August 21-27, 2009, Moscow-Dubna, Russia

References in corpus (6)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• NJL model derived from QCD
• Bogoliubov compensation principle in the electro-weak interaction: value of the gauge constant, muon g-2 anomaly, predictions for Tevatron and LHC
• Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks
• Infrared non-perturbative QCD running coupling from Bogolubov approach
• NJL interaction derived from QCD: vector and axial-vector mesons