Manuscript IX-B-ST@1 · IX-B-ST.tex · section · f6af1523

Off-shell comparison prescription

Chart formulae and the exact dependency ledger › Off-shell comparison prescription · lines 405–424

IX-B-ST@1#eq:generators

The inherited local formulae are

□ (C h)^{μ} B_{f} [h, ϕ] = - \partial_{t}^{2} + Δ_{x}, = \partial_{ν} h^{μν} - \frac{1}{2} \partial^{μ} (η^{α β} h_{α β}), L = E_{0} C, w = L h, = - \int f (x) w^{μ} [h] (x) \partial_{μ} ϕ (x) d^{4} x, W_{g} [h] = \int g (y) h_{00} (y)^{2} d^{4} y .

Here $E_{0}$ denotes the supported comparison prescription, not a newly introduced host inverse. Both input fields are smooth and off shell. The source $j = □ h$ is not set to zero.

Displayed formulas in this passage

IX-B-ST@1#eq:generators · line 408
$□ (C h)^{μ} B_{f} [h, ϕ] = - \partial_{t}^{2} + Δ_{x}, = \partial_{ν} h^{μν} - \frac{1}{2} \partial^{μ} (η^{α β} h_{α β}), L = E_{0} C, w = L h, = - \int f (x) w^{μ} [h] (x) \partial_{μ} ϕ (x) d^{4} x, W_{g} [h] = \int g (y) h_{00} (y)^{2} d^{4} y .$

Off-shell comparison prescription

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