Logarithms ofin QED Bound States from the Renormalization Group
- 11 September 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 85 (11), 2248-2251
- https://doi.org/10.1103/physrevlett.85.2248
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.Comment: 4 pageKeywords
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