Elimination of the Landau pole in QCD with the spontaneously generated anomalous three-gluon interaction

TL;DR

This paper demonstrates that using the Bogoliubov compensation principle in QCD can eliminate the Landau pole, determine key parameters like the gluon condensate and glueball mass, and support the approach's applicability to gauge theories.

Contribution

It introduces a non-trivial solution for spontaneous generation of an anomalous three-gluon interaction in QCD, removing the Landau singularity and aligning with phenomenological data.

Findings

Elimination of the Landau pole in the running coupling $\alpha_s(Q^2)$

Determination of the gluon condensate $V_2 \,\simeq \,0.01 \,GeV^4$

Prediction of the lightest glueball mass $M_G \,\simeq \,1500 \,MeV$

Abstract

We apply the Bogoliubov compensation principle to QCD. The non-trivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory, including behavior of the gauge coupling $\alpha_s(Q^2)$ without the Landau singularity, the gluon condensate $V_2\,\simeq\,0.01\,GeV^4$, mass of the lightest glueball $M_G\,\simeq\,1500\,MeV$ in satisfactory agreement with the phenomenological knowledge. The results strongly support the applicability of N.N. Bogoliubov compensation approach to gauge theories of the Standard Model.