theorem 106.95 The cancellation condition

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:4634 · p. 2206

Rests on

depends_on proposition 106.88 The obstruction ¶
- depends_on lemma 106.86 A shift of a divergent integral leaves a surface term ¶
  - depends_on theorem 7.133 Gauss ¶
    - depends_on definition 7.127 Simple regions ¶
      - depends_on definition 7.98 Functions of class $C^{1}$ ¶
      - depends_on definition 6.9 Compact set ¶
    - depends_on remark 7.128 What the derivations below take as given ¶
      - depends_on definition 7.125 Multiple integral ¶
      - depends_on theorem 7.40 Continuous functions are integrable ¶
      - depends_on theorem 7.25 Heine–Cantor: uniform continuity ¶
    - depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
      - depends_on definition 7.41 Antiderivative ¶
      - depends_on theorem 7.42 Fundamental theorem of calculus, I ¶
      - proves proof ch:05-real-analysis@proof-25 ¶
    - proves proof ch:05-real-analysis@proof-79 ¶
  - proves proof ch:08-path-integral-quantization@proof-59 ¶
- 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 ¶
- proves proof ch:08-path-integral-quantization@proof-60 ¶
depends_on proposition 106.90 Wess–Zumino consistency ¶
- depends_on equation 106.37 eq:pathint-W ¶
- depends_on equation 106.67 eq:pathint-gauge-transformation ¶
- proves proof ch:08-path-integral-quantization@proof-61 ¶
proves proof ch:08-path-integral-quantization@proof-65 ¶

Supports

depends_on proposition 104.53 One generation is anomaly free ¶
depends_on proposition 106.96 The Standard Model cancels, and only with three colours ¶

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`	→	An anomaly-free version of Weinberg's model	derived	parts/11-qft-standard-model/08-path-integral-quantization.tex:4646
`depends_on`	→	The obstruction	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4647
`depends_on`	→	Wess–Zumino consistency	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4647
`depends_on`	←	One generation is anomaly free	declared	parts/11-qft-standard-model/06-electroweak-higgs.tex:2471
`depends_on`	←	The Standard Model cancels, and only with three colours	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4673
`proves`	←	ch:08-path-integral-quantization@proof-65	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4650