Manuscript XVI-I@1 · XVI-I.tex · section · a7046a8d

Free derivation with preparation held fixed

Off-shell representatives, free variation, and quantum limits › Free derivation with preparation held fixed · lines 1526–1541

Declare the preparation data and $t_{D}$ fixed under the free variation. Adopt the inherited free field formulas

s_{0} h = R c, s_{0} ϕ = 0, s_{0} c = 0, s_{0} c ˉ = i b, s_{0} b = 0,

with

(R c)_{μν} = \partial_{(μ} c_{ν)} .

Ghost directions may be treated as formal Grassmann-valued smooth directions in the following polynomial identity.

Displayed formulas in this passage

unlabeled · line 1530
$s_{0} h = R c, s_{0} ϕ = 0, s_{0} c = 0, s_{0} c ˉ = i b, s_{0} b = 0,$
unlabeled · line 1536
$(R c)_{μν} = \partial_{(μ} c_{ν)} .$