Manuscript III@2 · III.tex · section · 82dad3e5

The adjoint-exact repair is on-shell zero

Compact coupled Ward observables › The adjoint-exact repair is on-shell zero · lines 2094–2105

III@2#eq:exact-repair

For $ψ \in C_{c}^{\infty} (M)$ , let

J_{ψ}^{μν} = \partial^{(μ} ψ \partial^{ν)} Φ - \frac{1}{2} η^{μν} \partial_{α} (ψ \partial^{α} Φ), c_{ψ} = P ψ .

Displayed formulas in this passage

III@2#eq:exact-repair · line 2097
$J_{ψ}^{μν} = \partial^{(μ} ψ \partial^{ν)} Φ - \frac{1}{2} η^{μν} \partial_{α} (ψ \partial^{α} Φ), c_{ψ} = P ψ .$