Manuscript II@2 · II.tex · section · 50d64def

Simultaneous cancellation of the selected tests

Meaning of the certificate › Simultaneous cancellation of the selected tests · lines 1682–1699

For any fixed $d$ , choose

θ_{ℓ_{a}} = θ_{ℓ_{b}} = - \frac{2}{3} q (d), θ_{ℓ} = 0 (ℓ \in / {ℓ_{a}, ℓ_{b}}) .

Then

r_{S} (d, θ) = 0.

The coefficients may depend on the fixed coupling $d$ , but not on which row is tested. This is cancellation of three longitudinal responses, not a proof of gauge consistency of the modified action.

Displayed formulas in this passage

unlabeled · line 1685
$θ_{ℓ_{a}} = θ_{ℓ_{b}} = - \frac{2}{3} q (d), θ_{ℓ} = 0 (ℓ \in / {ℓ_{a}, ℓ_{b}}) .$
unlabeled · line 1692
$r_{S} (d, θ) = 0.$