  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.
