Manuscript XI-D@1 · XI-D.tex · section · 994a5c1b

The free variation is an actual classical functional

A necessary free-order closure condition › The free variation is an actual classical functional · lines 712–726

XI-D@1#eq:ghostlayer

The integrals exist by smooth Cauchy theory and compact observation support. This is a classical calculation, not application of an unconstructed quantum derivation to an admitted element.

For a free ghost, $D R c = \frac{1}{2} □ c = 0$ , so

L_{ε} R c = - E_{0}^{R} (σ_{ε}^{'} a_{1}^{0 \cdot} [R c]) .

The ramp layer therefore remains visible to free ghosts with nontrivial Cauchy data.

Displayed formulas in this passage

XI-D@1#eq:ghostlayer · line 719
$L_{ε} R c = - E_{0}^{R} (σ_{ε}^{'} a_{1}^{0 \cdot} [R c]) .$

Nearby in this section

proposition: Proposition: Free variation and ghost number