phenomenon 100.66 The Lamb shift

open in the book · parts/11-qft-standard-model/02-qed-renormalization.tex:3058 · p. 1933

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on corollary 100.36 Mass renormalization ¶
- depends_on equation 100.56 eq:qed-sigma ¶
- proves proof ch:02-qed-renormalization@proof-23 ¶
depends_on theorem 100.35 One-loop electron self-energy ¶
- depends_on lemma 100.28 The $d$-dimensional loop integral ¶
  - depends_on equation 17.42 eq:ft-gaussian ¶
  - depends_on equation 17.109 eq:ft-mellin-gamma ¶
  - depends_on lemma 100.27 Wick rotation ¶
    - depends_on equation 100.23 eq:qed-fermion-propagator ¶
    - depends_on theorem 8.12 Cauchy ¶
      - depends_on equation 8.5 eq:cpx-cr ¶
      - depends_on theorem 7.131 Green ¶
      - proves proof ch:06-complex-analysis@proof-7 ¶
    - proves proof ch:02-qed-renormalization@proof-16 ¶
  - proves proof ch:02-qed-renormalization@proof-17 ¶
- depends_on lemma 100.26 Feynman parametrization ¶
  - depends_on equation 17.109 eq:ft-mellin-gamma ¶ ↺
  - proves proof ch:02-qed-renormalization@proof-15 ¶
- depends_on proposition 100.14 The Feynman rules of QED in SI form ¶
  - depends_on equation 100.2 eq:qed-action ¶
  - depends_on proposition 100.8 The photon propagator ¶
    - depends_on equation 100.2 eq:qed-action ¶ ↺
    - depends_on equation 100.16 eq:qed-gauge-fixing-term ¶
    - depends_on equation 100.15 eq:qed-photon-kernel ¶
    - proves proof ch:02-qed-renormalization@proof-4 ¶
  - depends_on theorem 100.5 The gauge principle ¶
    - depends_on equation 100.6 eq:qed-current ¶
    - depends_on equation 100.5 eq:qed-free-dirac ¶
    - proves proof ch:02-qed-renormalization@proof-1 ¶
  - proves proof ch:02-qed-renormalization@proof-7 ¶
- proves proof ch:02-qed-renormalization@proof-22 ¶
proves proof ch:02-qed-renormalization@proof-35 ¶

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type	direction	node	provenance	where
`cites`	→	The Electromagnetic Shift of Energy Levels	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3068
`cites`	→	A measurement of the atomic hydrogen Lamb shift and the proton charge radius	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3063
`cites`	→	Fine Structure of the Hydrogen Atom by a Microwave Method	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3064
`depends_on`	→	Mass renormalization	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3070
`depends_on`	→	One-loop electron self-energy	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3070
`proves`	←	ch:02-qed-renormalization@proof-35	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3073