  The color neutrality of hadrons is interpreted as an expression of conformal
symmetry of strong interaction, the latter being signaled through the detected
"walking" at low transferred momenta, $\lim_{Q^2\to 0}\alpha_s(Q^2)/\pi\to 1 $,
of the strong coupling toward a fixed value ($\alpha_s $ "freezing" ). The fact
is that conformal symmetry admits quarks and gluons to reside on the
compactified $AdS_5$ boundary, whose topology is $S^1\times S^3$, a closed
space that can bear exclusively color-charge neutral configurations, precisely
as required by color confinement. The compactification radius, once employed as
a second scale alongside with $\Lambda_{QCD}$, provides for an $\alpha_s(Q^2) $
"freezing" mechanism in the infrared regime of QCD, thus making the
conformal-symmetry--color-neutrality connection at low energies evident. In
this way, perturbative descriptions of processes in the infrared could acquire
meaning. In consequence, it becomes possible to address QCD by quantum
mechanics in terms of a conformal wave operator equation, which leads to an
efficient description of a wide range of
