Bogoliubov compensation approach in QCD and in the electroweak theory

TL;DR

This paper applies the Bogoliubov compensation principle to non-perturbative calculations in electroweak theory and QCD, deriving effective interactions and predicting coupling constants with reasonable accuracy.

Contribution

It introduces a method to obtain unique solutions to compensation equations, constrains theory parameters, and derives effective interactions from fundamental QCD.

Findings

Calculated electroweak coupling $ ext{α}_w(M_W)$ within 10% of experimental value.

Derived effective Nambu-Jona-Lasinio interaction from QCD.

Provided a satisfactory description of low-mass hadron physics.

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.