phenomenon 102.72 The pion is anomalously light

open in the book · parts/11-qft-standard-model/04-qcd.tex:2974 · p. 2023

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on definition 102.69 The quark condensate ¶
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 ¶
depends_on theorem 102.70 Goldstone ¶
- depends_on equation 102.75 eq:qcd-breaking-pattern ¶
- depends_on phenomenon 102.68 The spectrum has no parity doublets ¶ ↺
- proves proof ch:04-qcd@proof-36 ¶
proves proof ch:04-qcd@proof-37 ¶

Nothing declares a dependency on this node yet.

Every logical edge within two steps of this node.

type	direction	node	provenance	where
`cites`	→	Review of Particle Physics	derived	parts/11-qft-standard-model/04-qcd.tex:2980
`depends_on`	→	The quark condensate	declared	parts/11-qft-standard-model/04-qcd.tex:2986
`depends_on`	→	The spectrum has no parity doublets	declared	parts/11-qft-standard-model/04-qcd.tex:2986
`depends_on`	→	Goldstone	declared	parts/11-qft-standard-model/04-qcd.tex:2986
`proves`	←	ch:04-qcd@proof-37	declared	parts/11-qft-standard-model/04-qcd.tex:2990