The Running Coulomb Potential and Lamb Shift in QCD

Details The Running Coulomb Potential and Lamb Shift in QCD The Running Coulomb Potential and Lamb Shift in QCD

2001-02-21

arxiv.org/abs/hep-ph/0102257v1

Phys.Rev.D64:014033,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 10 figures

Scientific paper

10.1103/PhysRevD.64.014033

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_s^4(\alpha_s ln\alpha_s)^k, k\ge 0.

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