Journal
PHYSICAL REVIEW D
Volume 64, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.64.014033
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The QCD beta function and the anomalous dimensions for the Coulomb potential and the static potential first differ at three loop order. We evaluate the three loop ultrasoft anomalous dimension for the Coulomb potential and give the complete three loop running. Using this result, we calculate the leading logarithmic Lamb shift for a heavy-quark-antiquark bound state, which includes all contributions to the binding energies of the form m alpha (4)(s)(alpha (s) ln alpha (s))(k), k greater than or equal to0.
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