Abstract

In this study, we prove that it is necessary to introduce the non-zero gluon masses into the fundamental Lagrangian of Quantum Chromodynamics in order to describe the mass gap in the reaction of electron-positron annihilation into hadrons. Further, in this work, a new restriction on the gluon masses is imposed, and the renormalized theory with non-zero Lagrangian gluon masses is presented.

Keywords: Quantum chromodynamics, gluon masses, renormalizability, hadrons, perturbation theory, electron-positron.