proposition 116.29 The Gross–Llewellyn Smith sum rule in the parton model
open in the book ·
parts/11-qft-standard-model/18-exp-deep-inelastic.tex:1770
· p. 2557
Rests on
- depends_on equation 116.33 eq:expdis-partonic-sigma ¶
-
depends_on
proposition 102.6
Mesons are $q\bar{q}$, baryons are $qqq$
¶
- depends_on definition 102.5 Quarks ¶
- depends_on equation 14.81 eq:lie-su3-3x3bar ¶
-
depends_on
theorem 14.57
$\vect{3}\otimes\bar{\vect{3}}
= \vect{1}\oplus\vect{8}$
¶
-
depends_on
proposition 14.55
The fundamental, the antifundamental and the adjoint
¶
-
depends_on
corollary 14.18
A Casimir acts as a number on an irreducible
representation
¶
- depends_on definition 14.8 Casimir element ¶
- depends_on equation 14.6 eq:lie-expgen ¶
- depends_on remark 14.6 What $U(\mathfrak{g})$ is for ¶
- depends_on theorem 5.158 Schur's first lemma ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-6 ¶
-
depends_on
definition 14.51
Gell-Mann basis
¶
- depends_on definition 14.49 The special unitary group in three dimensions ¶
-
depends_on
proposition 14.53
Killing form of $\mathfrak{su}(3)$
¶
- depends_on definition 14.51 Gell-Mann basis ¶ ↺
- depends_on equation 14.15 eq:lie-killing-components ¶
- depends_on proposition 14.52 Structure constants and the symmetric tensor ¶
- depends_on theorem 14.13 Cartan's criterion ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-23 ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-25 ¶
-
depends_on
corollary 14.18
A Casimir acts as a number on an irreducible
representation
¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-26 ¶
- proves proof ch:12-lie-groups-fibre-bundles@prooflink-6 ¶
-
depends_on
proposition 14.55
The fundamental, the antifundamental and the adjoint
¶
- proves proof ch:04-qcd@proof-3 ¶
- proves proof ch:18-exp-deep-inelastic@proof-16 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:expdis-partonic-sigma | declared | parts/11-qft-standard-model/18-exp-deep-inelastic.tex:1779 |
depends_on |
→ | Mesons are $q\bar{q}$, baryons are $qqq$ | declared | parts/11-qft-standard-model/18-exp-deep-inelastic.tex:1779 |
proves |
← | ch:18-exp-deep-inelastic@proof-16 | declared | parts/11-qft-standard-model/18-exp-deep-inelastic.tex:1782 |