theorem 100.58 Bloch–Nordsieck cancellation

open in the book · parts/11-qft-standard-model/02-qed-renormalization.tex:2729 · p. 1929

Rests on

depends_on equation 100.60 eq:qed-form-factors ¶
depends_on phenomenon 100.57 No charge is deflected without radiating ¶
- depends_on equation 100.23 eq:qed-fermion-propagator ¶
- depends_on equation 100.39 eq:qed-phase-space ¶
- depends_on equation 100.34 eq:qed-photon-sum ¶
- proves proof ch:02-qed-renormalization@proof-31 ¶

Supports

depends_on phenomenon 102.15 Three colours, counted in an annihilation ratio ¶
depends_on theorem 100.60 Kinoshita–Lee–Nauenberg ¶
- depends_on proposition 102.48 Collinear emission and its logarithm ¶
  - depends_on phenomenon 116.32 Scaling is violated logarithmically ¶
  - depends_on proposition 116.16 The equivalent radiator ¶
  - depends_on proposition 102.58 The three-jet energy distribution ¶
  - depends_on theorem 102.49 The DGLAP evolution equations ¶
    - depends_on corollary 102.50 Moments diagonalise the evolution ¶
      - depends_on proposition 116.26 The asymptotic sharing of momentum ¶
    - depends_on proposition 116.26 The asymptotic sharing of momentum ¶ ↺

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
`depends_on`	→	eq:qed-form-factors	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:2759
`depends_on`	→	No charge is deflected without radiating	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:2759
`owes`	→	ch:02-qed-renormalization@pending-5	derived	parts/11-qft-standard-model/02-qed-renormalization.tex:2762
`depends_on`	←	Three colours, counted in an annihilation ratio	declared	parts/11-qft-standard-model/04-qcd.tex:590
`depends_on`	←	Kinoshita–Lee–Nauenberg	declared	parts/11-qft-standard-model/02-qed-renormalization.tex:2800