Manuscript XX-F@1 · XX-F.tex · section · de0bd24f

Classical action and its full rod contribution

Coupled gauge jets and an explicit quantum-algebra test › Classical action and its full rod contribution · lines 506–521

XX-F@1#eq:V

For compact spacetime $ξ$ , the infinitesimal pullback generated by $s ξ$ gives

δ_{ξ} z = K ξ, δ_{ξ} ζ = 2 A_{ξ} z .

Define on classical polynomial functionals

V_{ξ} F = ⟨ F_{z}^{(1)}, K ξ ⟩ + 2 ⟨ F_{ζ}^{(1)}, A_{ξ} z ⟩ .

Displayed formulas in this passage

XX-F@1#eq:V · line 515
$V_{ξ} F = ⟨ F_{z}^{(1)}, K ξ ⟩ + 2 ⟨ F_{ζ}^{(1)}, A_{ξ} z ⟩ .$
unlabeled · line 510
$δ_{ξ} z = K ξ, δ_{ξ} ζ = 2 A_{ξ} z .$