Derivation of the Lamb Shift using an Effective Field Theory

Details Derivation of the Lamb Shift using an Effective Field Theory Derivation of the Lamb Shift using an Effective Field Theory

1996-11-12

arxiv.org/abs/hep-ph/9611313v1

Can.J.Phys. 77 (1999) 267-278

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 11 Postscript figures, uses Latex2e and epsf.tex

Scientific paper

10.1139/cjp-77-4-267

We rederive the $O(\alpha^5)$ shift of the hydrogen levels in the non-recoil ($m_e/m_P \to 0$) 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.

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