theorem 108.7 The Gell-Mann–Low functional equation
open in the book ·
parts/11-qft-standard-model/10-renormalization-group.tex:227
· p. 2257
Rests on
- 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 ¶
Supports
-
depends_on
corollary 108.8
The flow is integrable in closed form
¶
-
depends_on
proposition 108.52
Asymptotic freedom as a property of the flow
¶
- 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 ¶
-
depends_on
proposition 108.52
Asymptotic freedom as a property of the flow
¶
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 |
→ | Quantum Electrodynamics at Small Distances | derived | parts/11-qft-standard-model/10-renormalization-group.tex:245 |
depends_on |
→ | The effective coupling | declared | parts/11-qft-standard-model/10-renormalization-group.tex:254 |
depends_on |
→ | The renormalization scale, and what it is | declared | parts/11-qft-standard-model/10-renormalization-group.tex:254 |
depends_on |
← | The flow is integrable in closed form | declared | parts/11-qft-standard-model/10-renormalization-group.tex:307 |
proves |
← | ch:10-renormalization-group@proof-2 | declared | parts/11-qft-standard-model/10-renormalization-group.tex:257 |