Manuscript X-E-ST@1 · X-E-ST.tex · section · 44614221

Transformation with the free fields held fixed

The one-tree background identity and its nonzero defect › Transformation with the free fields held fixed · lines 1853–1863

Transform only the classical backgrounds:

h^{'} = h + K ξ, k^{'} = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ}^{2} η, ξ, ζ \in g_{p} .

Both free fields, the Wick matrix, $f, g$ , and the width remain fixed.

Displayed formulas in this passage

unlabeled · line 1856
$h^{'} = h + K ξ, k^{'} = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ}^{2} η, ξ, ζ \in g_{p} .$