  Quarkonia are the central objects to explore the non-perturbative nature of
non-abelian gauge theories. We describe the confinement-deconfinement phases
for heavy quarkonia in a hot QCD medium and thereby the statistical nature of
the inter-quark forces. In the sense of one-loop quantum effects, we propose
that the "quantum" nature of quark matters follows directly from the
thermodynamic consideration of Richardson potential. Thereby we gain an
understanding of the formation of hot and dense states of quark gluon plasma
matter in heavy ion collisions and the early universe. In the case of the
non-abelian theory, the consideration of the Sudhakov form factor turns out to
be an efficient tool for soft gluons. In the limit of the Block-Nordsieck
resummation, the strong coupling obtained from the Sudhakov form factor yields
the statistical nature of hadronic bound states, e.g. kaons and Ds particles.
