Manuscript XVI-I@1 · XVI-I.tex · section · a7046a8d

The off-shell representative is fixed

Off-shell representatives, free variation, and quantum limits › The off-shell representative is fixed · lines 1509–1525

Every graph formula uses the particular off-shell $t_{D}$ of (eq:t-test). Free-shell equivalence is not used to change it.

An ideal term such as $□_{1} a$ pairs trivially with a free tensor solution. It need not pair trivially with the chosen propagator, since

□_{y} D_{F} = - i P δ (y - w) .

Such changes can create contact terms in a graph calculation. It is incorrect to conclude that every nonzero ideal term produces a nonzero graph; the assertion is only that free-shell invisibility does not guarantee time-ordered invisibility.

Displayed formulas in this passage

unlabeled · line 1518
$□_{y} D_{F} = - i P δ (y - w) .$