The Running Coulomb Potential and Lamb Shift in QCD
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-ph/0102257,
title = {The Running Coulomb Potential and Lamb Shift in QCD},
author = {Andre H. Hoang and Aneesh V. Manohar and Iain W. Stewart},
journal= {arXiv preprint arXiv:hep-ph/0102257},
year = {2008}
}
Comments
25 pages, 10 figures