phenomenon 108.56 The strong coupling runs as predicted
open in the book ·
parts/11-qft-standard-model/10-renormalization-group.tex:1950
· p. 2277
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
- depends_on equation 102.19 eq:qcd-alpha-s-def ¶
- depends_on equation 102.42 eq:qcd-beta-qcd ¶
-
depends_on
proposition 108.52
Asymptotic freedom as a property of the flow
¶
-
depends_on
corollary 108.8
The flow is integrable in closed form
¶
- depends_on equation 108.9 eq:rg-flow-equation ¶
-
depends_on
theorem 108.7
The Gell-Mann–Low functional equation
¶
- depends_on definition 108.6 The effective coupling ¶
- depends_on notation 108.1 The renormalization scale, and what it is ¶
- proves proof ch:10-renormalization-group@proof-2 ¶
- proves proof ch:10-renormalization-group@proof-3 ¶
- depends_on equation 108.24 eq:rg-beta-series ¶
- proves proof ch:10-renormalization-group@proof-23 ¶
-
depends_on
corollary 108.8
The flow is integrable in closed form
¶
- proves proof ch:10-renormalization-group@proof-25 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | The 2009 world average of $\alpha$ s | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1960 |
cites |
→ | The 2009 world average of $\alpha$ s | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1968 |
cites |
→ | Review of Particle Physics | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1960 |
cites |
→ | Review of Particle Physics | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1967 |
cites |
→ | Review of Particle Physics | derived | parts/11-qft-standard-model/10-renormalization-group.tex:1970 |
depends_on |
→ | eq:qcd-alpha-s-def | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1974 |
depends_on |
→ | eq:qcd-beta-qcd | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1974 |
depends_on |
→ | Asymptotic freedom as a property of the flow | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1974 |
proves |
← | ch:10-renormalization-group@proof-25 | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1978 |