The heavy quark potential and its mass dependence

Abstract

The heavy quark-antiquark potential is an important topic in QCD that involves perturbative as well as non-perturbative methods. We construct the perturbative short-distance part of the potential in coordinate space via a subtracted Fourier transform, covering the momentum region where perturbative QCD is applicable. This potential is matched at intermediate distances to the non-perturbative long distance part from lattice QCD simulations. In addition to the static potential, quark mass dependent contributions and their effects on the quarkonium spectrum are discussed. Furthermore we derive charm and bottom quark masses in this approach.