theorem 102.70 Goldstone

open in the book · parts/11-qft-standard-model/04-qcd.tex:2912 · p. 2022

Rests on

depends_on equation 102.75 eq:qcd-breaking-pattern ¶
depends_on phenomenon 102.68 The spectrum has no parity doublets ¶
- depends_on equation 102.74 eq:qcd-chiral-group ¶
- depends_on proposition 102.67 The chiral symmetry of massless quarks ¶
  - 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 ¶
- proves proof ch:04-qcd@proof-35 ¶
proves proof ch:04-qcd@proof-36 ¶

Supports

depends_on phenomenon 102.72 The pion is anomalously light ¶
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
`cites`	→	Field theories with « Superconductor » solutions	derived	parts/11-qft-standard-model/04-qcd.tex:2918
`depends_on`	→	eq:qcd-breaking-pattern	declared	parts/11-qft-standard-model/04-qcd.tex:2919
`depends_on`	→	The spectrum has no parity doublets	declared	parts/11-qft-standard-model/04-qcd.tex:2919
`depends_on`	←	The pion is anomalously light	declared	parts/11-qft-standard-model/04-qcd.tex:2986
`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-36	declared	parts/11-qft-standard-model/04-qcd.tex:2922