theorem 102.35 Asymptotic freedom
open in the book ·
parts/11-qft-standard-model/04-qcd.tex:1452
· p. 2005
Rests on
- depends_on equation 14.80 eq:lie-su3-roots ¶
- depends_on equation 102.31 eq:qcd-casimirs ¶
-
depends_on
theorem 102.33
The one-loop coefficient, from a magnetic response
¶
- depends_on equation 102.19 eq:qcd-alpha-s-def ¶
-
depends_on
lemma 102.31
The vacuum's two responses are reciprocal
¶
- depends_on equation 102.19 eq:qcd-alpha-s-def ¶ ↺
- depends_on postulate 38.2 Invariance of the speed of light ¶
- proves proof ch:04-qcd@proof-14 ¶
-
depends_on
lemma 102.32
Landau levels with $g=2$
¶
- depends_on equation 93.2 eq:dirac-g2 ¶
- depends_on equation 102.28 eq:qcd-ym-expanded ¶
- proves proof ch:04-qcd@proof-15 ¶
- proves proof ch:04-qcd@proof-16 ¶
- proves proof ch:04-qcd@proof-18 ¶
Supports
-
depends_on
corollary 108.20
What is physical in a beta function
¶
- depends_on proposition 108.59 The hypercharge coupling and its pole ¶
- depends_on phenomenon 102.75 Hadronic matter deconfines when heated ¶
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 |
→ | Ultraviolet Behavior of Non-Abelian Gauge Theories | derived | parts/11-qft-standard-model/04-qcd.tex:1463 |
cites |
→ | Reliable Perturbative Results for Strong Interactions? | derived | parts/11-qft-standard-model/04-qcd.tex:1463 |
depends_on |
→ | eq:lie-su3-roots | declared | parts/11-qft-standard-model/04-qcd.tex:1465 |
depends_on |
→ | eq:qcd-casimirs | declared | parts/11-qft-standard-model/04-qcd.tex:1465 |
depends_on |
→ | The one-loop coefficient, from a magnetic response | declared | parts/11-qft-standard-model/04-qcd.tex:1465 |
depends_on |
← | What is physical in a beta function | declared | parts/11-qft-standard-model/10-renormalization-group.tex:734 |
depends_on |
← | Hadronic matter deconfines when heated | declared | parts/11-qft-standard-model/04-qcd.tex:3131 |
proves |
← | ch:04-qcd@proof-18 | declared | parts/11-qft-standard-model/04-qcd.tex:1468 |