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The renormalization group procedure for effective particles (RGPEP),developed as a nonperturbative tool for constructing bound states in quantumfield theories, is applied to QCD. The approach stems from the similarityrenormalization group and introduces the concept of effective particles. It hasbeen shown that the RGPEP passes the test of exhibiting asymptotic freedom. Wepresent the running of the Hamiltonian coupling with the renormalization-groupscale and summarize the basic elements needed in the formulation of thebound-state problem.

From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles