Speaker
Description
In the context of a theory for only one heavy flavor in QCD, we use the renormalization group procedure for effective particles (RGPEP) to derive the effective potential for $Q\bar Q$ and $QQQ$ that arises at the energy scale at which bound states are formed. The RGPEP provides the connection between low- and high-energy interactions in QCD through the construction of effective particles.
The approach reproduces the correct behavior of the coupling constant at high energies (asymptotic freedom) and, at the current level of approximation, the second-order solution of the renormalization group equations yields a Coulomb potential with Breit-Fermi spin couplings, which is corrected by a harmonic oscillator term. These results are obtained assuming that, beyond perturbation theory, gluons get an effective mass.