proposition 106.83 The vacuum is a superposition of winding sectors

open in the book · parts/11-qft-standard-model/08-path-integral-quantization.tex:3923 · p. 2198

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depends_on proposition 106.81 The topological charge is an integer ¶
- depends_on equation 14.155 eq:lie-trform ¶
- depends_on equation 106.91 eq:pathint-winding ¶
- depends_on theorem 14.111 Chern–Weil ¶
  - depends_on equation 14.142 eq:lie-bianchi ¶
  - depends_on equation 14.139 eq:lie-curvature ¶
  - depends_on theorem 14.110 thm:lie-invpoly ¶
    - depends_on definition 14.109 $G$-invariant polynomial ¶
      - depends_on equation 14.144 eq:lie-invpol-linear ¶
      - depends_on equation 14.145 eq:lie-invpol-symm ¶
    - depends_on equation 14.5 eq:lie-structconst ¶
      - step_from equation 14.4 eq:lie-gengrlie ¶
    - proves proof ch:12-lie-groups-fibre-bundles@proof-45 ¶
  - proves proof ch:12-lie-groups-fibre-bundles@proof-46 ¶
- proves proof ch:08-path-integral-quantization@proof-55 ¶
proves proof ch:08-path-integral-quantization@proof-56 ¶

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type	direction	node	provenance	where
`cites`	→	The structure of the gauge theory vacuum	derived	parts/11-qft-standard-model/08-path-integral-quantization.tex:3936
`cites`	→	Vacuum Periodicity in a Yang-Mills Quantum Theory	derived	parts/11-qft-standard-model/08-path-integral-quantization.tex:3936
`depends_on`	→	The topological charge is an integer	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3937
`proves`	←	ch:08-path-integral-quantization@proof-56	declared	parts/11-qft-standard-model/08-path-integral-quantization.tex:3940