Logarithms of alpha in QED bound states from the renormalization group
High Energy Physics - Phenomenology
2009-10-31 v1 High Energy Physics - Theory
Atomic Physics
Abstract
The velocity renormalization group is used to determine ln(alpha) contributions to QED bound state energies. The leading order anomalous dimension for the potential gives the alpha^5 ln(alpha) Bethe logarithm in the Lamb shift. The next-to-leading order anomalous dimension determines the alpha^6 ln(alpha), alpha^7 ln^2(alpha), and alpha^8 ln^3 (alpha) corrections to the energy. These are used to obtain the alpha^8 ln^3(alpha) Lamb shift and alpha^7 ln^2(alpha) hyperfine splitting for Hydrogen, muonium and positronium, as well as the alpha^2 ln(alpha) and alpha^3 ln^2(alpha) corrections to the ortho- and para-positronium lifetimes.
Keywords
Cite
@article{arxiv.hep-ph/0004018,
title = {Logarithms of alpha in QED bound states from the renormalization group},
author = {Aneesh V. Manohar and Iain W. Stewart},
journal= {arXiv preprint arXiv:hep-ph/0004018},
year = {2009}
}
Comments
4 pages