Derivation of the Lamb shift using an effective field theory
Nov, 199615 pages
Published in:
- Can.J.Phys. 77 (1999) 267-278
e-Print:
- hep-ph/9611313 [hep-ph]
Report number:
- MCGILL-96-41
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Abstract:
We rederive the shift of the hydrogen levels in the non-recoil () limit using Nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage (Phys. Lett. 167B, 437 (1986)). Our result contains the Lamb shift as a special case. Our calculation is far simpler than traditional approaches and has the advantage of being systematic. It also clearly illustrates the need to renormalize (or ``match'') the coefficients of the effective theory beyond tree level.Note:
- 15 pages, 11 Postscript figures, uses Latex2e and epsf.tex
- hydrogen: energy levels
- radiative correction
- recoil: 0
- quantum electrodynamics: nonrelativistic
- effective Lagrangian
- vertex function
- Feynman graph: higher-order
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