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We present a possible solution of a mass dynamical generation problem intheoretical particle physics at the fundamental level of the stronginteractions. It is based on new significant insights into the true dynamicaland gauge structures of the QCD ground state. The exact proof has been giventhat its structure is much more composite than it is determined by the QCDLagrangian's exact gauge symmetry. It requires the existence of the mass gap inthe Yang-Mills theory, after the corresponding non-perturbative renormalizationprogram has to be performed. But its perturbation theory renormalizability isnot affected for the regularized gluon fields. All this made it possible toformulate a novel non-perturbative analytical approach to QCD and its groundstate, reflecting these complexities. The dimensional regularization method'sprescription to remove quadratically divergent terms in the perturbation theoryhas been put on a firm mathematical ground within our formalism. It is proventhat these terms have to be eliminated in the non-perturbation theory as wellapart from the so-called tadpole term. Its renormalized version has beenidentified as the mass gap within our approach.

a mass dynamical generation in the QCD ground state