  Flow equations method of continuous unitary transformations is used to
eliminate the minimal quark-gluon interaction in the light-front quantized QCD
Hamiltonian. The coupled differential equations in the two lowest Fock sectors
correspond to the renormalization of the light-front gluon mass and the
generation of effective quark-antiquark interaction. The influence of the
renormalization of the gluon effective mass on the elimination of the
quark-gluon coupling and the induced quark-antiquark interaction is taken into
account. Namely, the original gauge field coupling can be completely
eliminated, even when the states connected by this interaction are degenerate.
Furthermore, even in the case where effective interaction, obtained within
perturbative schemes (bound state perturbation theory or perturbative
similarity approach), is not defined, we obtain more singular behavior $1/q^4$
at small gluon momenta. This is due to asymptotic behavior of the effective
gluon mass at small cutoffs. By discussing the consequences of this asymptotic
behavior, it seems that our approach is superior to perturbation theory and to
perturbative similarity approach.
