Manuscript VII-C@1 · VII-C.tex · section · 8b2ade29

Separation from time-ordered and retarded products

Outcome and the remaining interacting problem › Separation from time-ordered and retarded products · lines 1616–1643

The source-sector observation in Section 2 uses the bisolution identity

P H = 0.

A Feynman Green function instead satisfies

P H_{F} = c δ

with a convention-dependent nonzero constant $c$ . Consequently, source variables with zero free Wick contractions can produce contact terms in time-ordered constructions. The free Wick and renormalized time-ordered constructions are distinct FR.

No statement here constructs any of

R_{1} (V_{1}^{sc}; B_{f}), B_{f}^{(2)}, R_{1} (V_{2}; B_{f}^{(0)}), \frac{1}{2} R_{2} (V_{1}, V_{1}; B_{f}^{(0)}) .

No interaction vertex is needed for the obstruction, and none is introduced as an unused premise.

Displayed formulas in this passage

unlabeled · line 1620
$P H = 0.$
unlabeled · line 1624
$P H_{F} = c δ$
unlabeled · line 1635
$R_{1} (V_{1}^{sc}; B_{f}), B_{f}^{(2)}, R_{1} (V_{2}; B_{f}^{(0)}), \frac{1}{2} R_{2} (V_{1}, V_{1}; B_{f}^{(0)}) .$