notation 26.36 Gauge fields and their SI dimensions
open in the book ·
parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1384
· p. 914
- notation -- no derivation owed by its kind
Rests on
- depends_on equation 102.24 eq:qcd-field-strength ¶
-
depends_on
notation 26.28
Field systems
¶
-
depends_on
definition 22.29
Poisson bracket
¶
-
depends_on
definition 7.97
Partial derivative; gradient
¶
-
depends_on
definition 7.26
Derivative of a function at a point
¶
- depends_on definition 7.16 Limit ¶
- depends_on definition 7.9 Real function ¶
-
depends_on
definition 5.15
Basis
¶
- depends_on definition 5.12 Subspace generated by a set of vectors ¶
- depends_on definition 5.14 Linear independence ¶
-
depends_on
definition 7.26
Derivative of a function at a point
¶
-
depends_on
definition 22.14
Phase-space coordinate transformation
¶
-
depends_on
definition 22.2
Hamiltonian
¶
- depends_on definition 21.34 Generalized momentum ¶
- depends_on definition 21.31 Lagrangian ¶
-
depends_on
definition 22.2
Hamiltonian
¶
-
depends_on
definition 7.97
Partial derivative; gradient
¶
-
depends_on
notation 26.1
Weak and strong equality
¶
- depends_on definition 22.29 Poisson bracket ¶ ↺
- depends_on notation 22.1 not:ham-indices ¶
-
depends_on
definition 22.29
Poisson bracket
¶
- depends_on notation 102.18 Colour fields and their SI dimensions ¶
Supports
- depends_on proposition 26.37 Constraint structure of Yang–Mills theory ¶
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:qcd-field-strength | declared | parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1409 |
depends_on |
→ | Field systems | declared | parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1409 |
depends_on |
→ | Colour fields and their SI dimensions | declared | parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1409 |
depends_on |
← | Constraint structure of Yang–Mills theory | declared | parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1438 |