proposition 108.52 Asymptotic freedom as a property of the flow
open in the book ·
parts/11-qft-standard-model/10-renormalization-group.tex:1844
· p. 2276
Rests on
-
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 ¶
Supports
- depends_on corollary 108.53 The condition on the number of flavours ¶
- depends_on corollary 108.62 Two Standard Model sectors are effective ¶
- depends_on phenomenon 108.56 The strong coupling runs as predicted ¶
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 |
|---|---|---|---|---|
depends_on |
→ | The flow is integrable in closed form | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1863 |
depends_on |
→ | eq:rg-beta-series | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1863 |
depends_on |
← | The condition on the number of flavours | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1889 |
depends_on |
← | Two Standard Model sectors are effective | declared | parts/11-qft-standard-model/10-renormalization-group.tex:2272 |
depends_on |
← | The strong coupling runs as predicted | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1974 |
proves |
← | ch:10-renormalization-group@proof-23 | declared | parts/11-qft-standard-model/10-renormalization-group.tex:1866 |