proposition 102.67 The chiral symmetry of massless quarks

open in the book · parts/11-qft-standard-model/04-qcd.tex:2796 · p. 2021

Rests on

depends_on equation 102.21 eq:qcd-covariant-derivative ¶
depends_on equation 102.29 eq:qcd-lagrangian ¶
depends_on theorem 106.87 The axial anomaly ¶
- 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 ¶
proves proof ch:04-qcd@proof-34 ¶

Supports

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 ¶ ↺

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:qcd-covariant-derivative	declared	parts/11-qft-standard-model/04-qcd.tex:2816
`depends_on`	→	eq:qcd-lagrangian	declared	parts/11-qft-standard-model/04-qcd.tex:2816
`depends_on`	→	The axial anomaly	declared	parts/11-qft-standard-model/04-qcd.tex:2816
`depends_on`	←	The spectrum has no parity doublets	declared	parts/11-qft-standard-model/04-qcd.tex:2860
`depends_on`	←	Chiral power counting for the nuclear force	declared	parts/11-qft-standard-model/09-nuclear-physics.tex:1248
`proves`	←	ch:04-qcd@proof-34	declared	parts/11-qft-standard-model/04-qcd.tex:2820