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

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 $V_2\simeq 0.01Ge{V}^4$, mass of the lightest glueball $M_G\simeq 1500MeV$ 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.

Comments: 9 pages, 5 figures. arXiv admin note: text overlap with arXiv:1103.3951, arXiv:0901.3997, arXiv:1107.5164, arXiv:hep-ph/0703237