Manuscript XIV-G@1 · XIV-G.tex · input · 791c6644

Input statement: Tree and retarded convention

G0: copied inputs and the unchanged stop › Earlier analytic handoffs · lines 653–674

XIV-G@1#input:XIIIB

The admitted tree datum is

R_{1}^{(0)} = - ⟨ O^{'}, G_{act}^{R} V_{g}^{'} ⟩ = ⟨ O^{'}_{γ}, r_{g} [ϕ] ⟩ + ⟨ O^{'}_{ϕ}, p_{1} [γ; ϕ] ⟩ .

The convention is

R_{1} (V_{g}; O) = \frac{i}{ℏ} (T_{2}^{ren} (V_{g}, O) - V_{g} ⋆_{H} O) .

Its strictly ordered full-support values are zero or the scaled commutator $(i /ℏ) [O, V_{g}]_{⋆_{H}}$ .

“Properness cannot repair an undefined distribution product, and an extension theorem cannot be substituted for properness” XIIIB.

Displayed formulas in this passage

unlabeled · line 656
$R_{1}^{(0)} = - ⟨ O^{'}, G_{act}^{R} V_{g}^{'} ⟩ = ⟨ O^{'}_{γ}, r_{g} [ϕ] ⟩ + ⟨ O^{'}_{ϕ}, p_{1} [γ; ϕ] ⟩ .$
unlabeled · line 662
$R_{1} (V_{g}; O) = \frac{i}{ℏ} (T_{2}^{ren} (V_{g}, O) - V_{g} ⋆_{H} O) .$