phenomenon 100.69 Light scatters off light

open in the book · parts/11-qft-standard-model/02-qed-renormalization.tex:3331 · p. 1936

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

Rests on

depends_on equation 100.12 eq:qed-lagrangian ¶
depends_on theorem 100.17 Superficial degree of divergence ¶
- depends_on equation 100.23 eq:qed-fermion-propagator ¶
- depends_on equation 100.17 eq:qed-photon-propagator ¶
- depends_on theorem 100.10 Furry ¶
  - depends_on definition 100.9 Charge conjugation on the Dirac field ¶
  - depends_on equation 100.20 eq:qed-C-matrix ¶
  - proves proof ch:02-qed-renormalization@proof-5 ¶
- proves proof ch:02-qed-renormalization@proof-8 ¶
depends_on theorem 100.31 One-loop vacuum polarization ¶
- 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 100.23 Trace theorems ¶
  - depends_on equation 100.5 eq:qed-free-dirac ¶
  - proves proof ch:02-qed-renormalization@proof-12 ¶
- 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-19 ¶
proves proof ch:02-qed-renormalization@proof-37 ¶

Supports

Nothing declares a dependency on this node yet.

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`cites`	→	Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3338
`cites`	→	Observation of Light-by-Light Scattering in Ultraperipheral Pb+Pb Collisions with the ATLAS Detector	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3338
`cites`	→	Folgerungen aus der Diracschen Theorie des Positrons	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:3341
`depends_on`	→	eq:qed-lagrangian	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3342
`depends_on`	→	Superficial degree of divergence	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3342
`depends_on`	→	One-loop vacuum polarization	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3342
`proves`	←	ch:02-qed-renormalization@proof-37	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:3346