Manuscript X-F-ST@1 · X-F-ST.tex · section · e71f03ef

Completed scalar identities as compact equation images

Free polynomial carrier and the scalar background identity › Completed scalar identities as compact equation images · lines 1219–1229

X-F-ST@1#eq:backgroundlaw

Let $X_{ξ} u = ξ^{μ} \partial_{μ} u$ and $Z_{ξ} = X_{ζ} + \frac{1}{2} X_{ξ}^{2}$ . The classical background transformation is

h^{'} = h + K ξ, k^{'} = k + L_{ξ}^{c} h + K ζ + \frac{1}{2} L_{ξ}^{c} K ξ .

Displayed formulas in this passage

X-F-ST@1#eq:backgroundlaw · line 1224
$h^{'} = h + K ξ, k^{'} = k + L_{ξ}^{c} h + K ζ + \frac{1}{2} L_{ξ}^{c} K ξ .$