proposition A.654 The Yang–Mills case

open in the book · appendices/A-long-proofs.tex:31926 · p. 3111

Rests on

depends_on equation 26.16 eq:cd-first-class-algebra ¶
depends_on equation 22.46 eq:ham-jacobi ¶
depends_on lemma A.652 Nilpotency, order by order ¶
- depends_on equation 26.98 eq:cd-brst-nilpotent ¶
- depends_on lemma A.648 $\delta$ is the ghost bracket with $\Omega_{(0)}$, and $\delta^{2}=0$ ¶
  - depends_on definition A.647 Koszul–Tate differential ¶
    - depends_on equation 26.16 eq:cd-first-class-algebra ¶ ↺
    - depends_on notation A.646 Gradings and brackets ¶
      - depends_on definition 26.50 The BRST charge ¶
      - depends_on equation 26.97 eq:cd-brst-charge ¶
      - depends_on equation 26.16 eq:cd-first-class-algebra ¶ ↺
  - depends_on equation A.1034 eq:app-brst-existence-first-two ¶
  - depends_on equation A.1030 eq:app-brst-existence-graded ¶
  - proves proof app:A-long-proofs@proof-389 ¶
- depends_on notation A.646 Gradings and brackets ¶ ↺
- proves proof app:A-long-proofs@proof-392 ¶
proves proof app:A-long-proofs@proof-394 ¶

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type	direction	node	provenance	where
`depends_on`	→	eq:cd-first-class-algebra	declared	appendices/A-long-proofs.tex:31932
`depends_on`	→	eq:ham-jacobi	declared	appendices/A-long-proofs.tex:31932
`depends_on`	→	Nilpotency, order by order	declared	appendices/A-long-proofs.tex:31932
`proves`	←	app:A-long-proofs@proof-394	declared	appendices/A-long-proofs.tex:31936