theorem 106.87 The axial anomaly

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:4123 · p. 2201

Rests on

depends_on equation 106.99 eq:pathint-chiral-rotation ¶
depends_on proposition 106.85 Classical conservation of the axial current ¶
- depends_on equation 100.5 eq:qed-free-dirac ¶
- proves proof ch:08-path-integral-quantization@proof-58 ¶

Supports

depends_on proposition 102.67 The chiral symmetry of massless quarks ¶
- depends_on phenomenon 102.68 The spectrum has no parity doublets ¶
  - depends_on phenomenon 102.72 The pion is anomalously light ¶
  - depends_on theorem 102.70 Goldstone ¶
    - depends_on phenomenon 102.72 The pion is anomalously light ¶ ↺
    - depends_on theorem 107.29 Chiral power counting for the nuclear force ¶
- depends_on theorem 107.29 Chiral power counting for the nuclear force ¶ ↺
depends_on proposition 102.16 The neutral pion width counts colours squared ¶

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:pathint-chiral-rotation	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4137
`depends_on`	→	Classical conservation of the axial current	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:4137
`depends_on`	←	The chiral symmetry of massless quarks	declared	parts/11-qft-standard-model/04-qcd.tex:2816
`depends_on`	←	The neutral pion width counts colours squared	declared	parts/11-qft-standard-model/04-qcd.tex:660