Infrared non-perturbative QCD running coupling from Bogolubov approach

Abstract

We apply Bogolubov approach to QCD to demonstrate a spontaneous generation of three-gluon gauge invariant effective interaction which contributes significantly at the infrared region. The contribution of this interaction to ${\alpha }_s(p^2)$ leads to description of its behaviour in correspondence to phenomenology and lattice calculations without introduction of any additional parameter.

8 pages, 3 figures, corrected types, precision of calculations improved, one figure added

References in corpus (6)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
• Analytic Perturbation Theory in analyzing some QCD observables
• Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD
• NJL model derived from QCD
• Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks

Cited by in corpus (10)

• The QCD Running Coupling
• Bogoliubov compensation principle in the electro-weak interaction: value of the gauge constant, muon g-2 anomaly, predictions for Tevatron and LHC
• LHC would-be $\gamma \gamma$ excess as a non-perturbative effect of the electro-weak interaction
• Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
• Non-perturbative solutions in the electro-weak theory with $\bar{t}t$ condensate and the $t$-quark mass
• NJL interaction derived from QCD: vector and axial-vector mesons
• Bogolyubov-Hartree-Fock approach to studying the QCD ground state
• Calculation of the contribution to muon $g-2$ due to the effective anomalous three boson interaction and the new experimental result
• CDF Wjj anomaly as a non-perturbative effect of the electro-weak interaction
• Bogoliubov compensation approach in QCD and in the electroweak theory