Logarithms of {alpha} in QED Bound States from the Renormalization Group
Journal Article
·
· Physical Review Letters
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}{sup 5}ln {alpha} Lamb shift. The next-to-leading-order anomalous dimension determines the {alpha}{sup 6}ln {alpha} , {alpha}{sup 7}ln{sup 2} {alpha} , and {alpha}{sup 8}ln{sup 3} {alpha} corrections to the energy. These are used to obtain the {alpha}{sup 8}ln{sup 3} {alpha} Lamb shift and {alpha}{sup 7}ln{sup 2} {alpha} hyperfine splitting for hydrogen, muonium, and positronium, as well as the {alpha}{sup 2}ln {alpha} and {alpha}{sup 3}ln{sup 2} {alpha} corrections to the ortho- and parapositronium lifetimes. This shows for the first time that these logarithms can be computed from the renormalization group. (c) 2000 The American Physical Society.
- OSTI ID:
- 20217645
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 11 Vol. 85; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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