theorem 102.49 The DGLAP evolution equations
open in the book ·
parts/11-qft-standard-model/04-qcd.tex:2033
· p. 2012
Rests on
- depends_on definition 17.97 Multiplicative convolution ¶
- depends_on equation 102.58 eq:qcd-emission-probability ¶
-
depends_on
proposition 102.48
Collinear emission and its logarithm
¶
- depends_on equation 102.31 eq:qcd-casimirs ¶
- depends_on equation 100.76 eq:qed-eikonal ¶
-
depends_on
theorem 100.60
Kinoshita–Lee–Nauenberg
¶
-
depends_on
phenomenon 100.57
No charge is deflected without radiating
¶
- depends_on equation 100.23 eq:qed-fermion-propagator ¶
- depends_on equation 100.39 eq:qed-phase-space ¶
- depends_on equation 100.34 eq:qed-photon-sum ¶
- proves proof ch:02-qed-renormalization@proof-31 ¶
-
depends_on
theorem 100.58
Bloch–Nordsieck cancellation
¶
- depends_on equation 100.60 eq:qed-form-factors ¶
- depends_on phenomenon 100.57 No charge is deflected without radiating ¶ ↺
-
depends_on
phenomenon 100.57
No charge is deflected without radiating
¶
- proves proof ch:04-qcd@proof-24 ¶
- proves proof ch:04-qcd@proof-25 ¶
Supports
-
depends_on
corollary 102.50
Moments diagonalise the evolution
¶
- depends_on proposition 116.26 The asymptotic sharing of momentum ¶
- depends_on proposition 116.26 The asymptotic sharing of momentum ¶ ↺
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 |
→ | Asymptotic freedom in parton language | derived | parts/11-qft-standard-model/04-qcd.tex:2044 |
cites |
→ | Calculation of the Structure Functions for Deep Inelastic Scattering and e+e- Annihilation by Perturbation Theory in Quantum Chromodynamics | derived | parts/11-qft-standard-model/04-qcd.tex:2044 |
cites |
→ | Deep inelastic ep scattering in perturbation theory | derived | parts/11-qft-standard-model/04-qcd.tex:2044 |
depends_on |
→ | Multiplicative convolution | declared | parts/11-qft-standard-model/04-qcd.tex:2047 |
depends_on |
→ | eq:qcd-emission-probability | declared | parts/11-qft-standard-model/04-qcd.tex:2047 |
depends_on |
→ | Collinear emission and its logarithm | declared | parts/11-qft-standard-model/04-qcd.tex:2047 |
depends_on |
← | Moments diagonalise the evolution | declared | parts/11-qft-standard-model/04-qcd.tex:2098 |
depends_on |
← | The asymptotic sharing of momentum | declared | parts/11-qft-standard-model/18-exp-deep-inelastic.tex:1534 |
proves |
← | ch:04-qcd@proof-25 | declared | parts/11-qft-standard-model/04-qcd.tex:2051 |