theorem 102.26 Non-abelian gauge theories are renormalizable

open in the book · parts/11-qft-standard-model/04-qcd.tex:1036 · p. 2000

Rests on

depends_on theorem 102.25 Gauge fixing needs a determinant ¶
- depends_on corollary 106.53 Why electrodynamics has no ghosts ¶
  - depends_on equation 106.69 eq:pathint-fp-operator ¶
  - depends_on equation 100.16 eq:qed-gauge-fixing-term ¶
  - depends_on theorem 106.52 Faddeev–Popov ¶
    - depends_on equation 106.67 eq:pathint-gauge-transformation ¶
    - depends_on proposition 106.51 The naive integral diverges by the volume of the gauge group ¶
      - depends_on equation 106.67 eq:pathint-gauge-transformation ¶ ↺
      - depends_on equation 106.65 eq:pathint-ym-lagrangian ¶
      - proves proof ch:08-path-integral-quantization@proof-36 ¶
    - proves proof ch:08-path-integral-quantization@proof-37 ¶
- depends_on equation 102.23 eq:qcd-gauge-infinitesimal ¶
- depends_on theorem 106.52 Faddeev–Popov ¶ ↺
- proves proof ch:04-qcd@proof-11 ¶
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 ¶

Supports

depends_on proposition 102.28 The parameters of QCD ¶

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`	→	Renormalizable Lagrangians for massive Yang-Mills fields	derived	parts/11-qft-standard-model/04-qcd.tex:1042
`cites`	→	Regularization and renormalization of gauge fields	derived	parts/11-qft-standard-model/04-qcd.tex:1042
`depends_on`	→	Gauge fixing needs a determinant	declared	parts/11-qft-standard-model/04-qcd.tex:1043
`depends_on`	→	Superficial degree of divergence	declared	parts/11-qft-standard-model/04-qcd.tex:1043
`owes`	→	ch:04-qcd@pending-1	derived	parts/11-qft-standard-model/04-qcd.tex:1046
`depends_on`	←	The parameters of QCD	declared	parts/11-qft-standard-model/04-qcd.tex:1083