proposition 102.28 The parameters of QCD
open in the book ·
parts/11-qft-standard-model/04-qcd.tex:1077
· p. 2001
Rests on
- depends_on equation 102.29 eq:qcd-lagrangian ¶
-
depends_on
proposition 14.50
Dimension and rank
¶
- depends_on definition 14.20 Cartan subalgebra and rank ¶
- depends_on definition 14.49 The special unitary group in three dimensions ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-21 ¶
-
depends_on
theorem 102.26
Non-abelian gauge theories are renormalizable
¶
-
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 ¶
- 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
corollary 106.53
Why electrodynamics has no ghosts
¶
-
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 ¶
-
depends_on
theorem 102.25
Gauge fixing needs a determinant
¶
- proves proof ch:04-qcd@proof-12 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:qcd-lagrangian | declared | parts/11-qft-standard-model/04-qcd.tex:1083 |
depends_on |
→ | Dimension and rank | declared | parts/11-qft-standard-model/04-qcd.tex:1083 |
depends_on |
→ | Non-abelian gauge theories are renormalizable | declared | parts/11-qft-standard-model/04-qcd.tex:1083 |
proves |
← | ch:04-qcd@proof-12 | declared | parts/11-qft-standard-model/04-qcd.tex:1086 |