proposition 104.47 The Goldstone-boson equivalence theorem
open in the book ·
parts/11-qft-standard-model/06-electroweak-higgs.tex:2187
· p. 2095
Rests on
- depends_on equation 104.6 eq:ewh-longitudinal ¶
- depends_on equation 106.76 eq:pathint-st-master ¶
-
depends_on
theorem 104.45
The $R_{\xi}$ gauges
¶
- depends_on equation 104.22 eq:ewh-abelian-vector-mass ¶
- depends_on equation 101.77 eq:weak-w-propagator ¶
-
depends_on
theorem 104.19
The abelian Higgs mechanism
¶
- depends_on equation 104.16 eq:ewh-goldstone-expansion ¶
- depends_on equation 104.6 eq:ewh-longitudinal ¶ ↺
- depends_on equation 100.8 eq:qed-gauge-transformation ¶
- proves proof ch:06-electroweak-higgs@proof-8 ¶
- proves proof ch:06-electroweak-higgs@proof-25 ¶
- proves proof ch:06-electroweak-higgs@proof-26 ¶
Supports
- depends_on phenomenon 104.57 The gauge bosons couple to one another ¶
- depends_on theorem 104.51 Longitudinal $W$ scattering bounds the scalar mass ¶
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 |
→ | eq:ewh-longitudinal | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2199 |
depends_on |
→ | eq:pathint-st-master | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2199 |
depends_on |
→ | The $R_{\xi}$ gauges | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2199 |
depends_on |
← | The gauge bosons couple to one another | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2830 |
depends_on |
← | Longitudinal $W$ scattering bounds the scalar mass | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2330 |
proves |
← | ch:06-electroweak-higgs@proof-26 | declared | parts/11-qft-standard-model/06-electroweak-higgs.tex:2202 |