theorem 106.72 Confinement at strong coupling

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:3361 · p. 2192

Rests on

depends_on equation 106.81 eq:pathint-wilson-action ¶
depends_on equation 106.83 eq:pathint-wilson-potential ¶
depends_on theorem 5.158 Schur's first lemma ¶
- depends_on definition 5.37 Linear transformation ¶
  - depends_on definition 4.33 Vector space ¶
    - depends_on definition 4.8 Commutativity; abelian structure ¶
      - depends_on definition 4.4 Internal binary operation; magma ¶
    - depends_on definition 4.32 Field ¶
      - depends_on definition 4.11 Inverse element ¶
      - depends_on definition 4.20 Monoid ¶
      - depends_on definition 4.30 Ring ¶
    - depends_on definition 4.31 Module ¶
      - depends_on definition 4.29 Action ¶
      - depends_on definition 4.28 Distributivity ¶
      - depends_on definition 4.21 Group ¶
      - depends_on definition 4.30 Ring ¶ ↺
- depends_on definition 5.147 Invariant subspace ¶
  - depends_on definition 5.7 Vector subspace ¶
    - depends_on definition 5.5 Linear combination ¶
      - depends_on definition 4.33 Vector space ¶ ↺
  - depends_on definition 5.141 Representation of a group ¶
    - depends_on definition 4.21 Group ¶ ↺
    - depends_on definition 4.43 Group homomorphism ¶
      - depends_on definition 4.21 Group ¶ ↺
      - depends_on definition 3.43 Map ¶
    - depends_on definition 4.48 Symmetric group ¶
      - depends_on definition 3.47 Bijective map ¶
- depends_on definition 5.148 Irreducible representation ¶
  - depends_on definition 5.147 Invariant subspace ¶ ↺
- proves proof ch:03-linear-algebra-representations@proof-67 ¶
proves proof ch:08-path-integral-quantization@proof-50 ¶

Supports

depends_on theorem 102.60 Confinement at strong coupling, and what it proves ¶

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:pathint-wilson-action	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3384
`depends_on`	→	eq:pathint-wilson-potential	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3384
`depends_on`	→	Schur's first lemma	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3384
`depends_on`	←	Confinement at strong coupling, and what it proves	declared	parts/11-qft-standard-model/04-qcd.tex:2498
`proves`	←	ch:08-path-integral-quantization@proof-50	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3388