Manuscript Em02-E@1 · Em02-E-v1.tex · section · f3795050

Transport of internal counterterms

Transport of internal counterterms · lines 1314–1333

Time can be retained as a common parameter in (eq:image). No product of two time deltas is required.

For a source derivative acting on the internal incidence, the precise formula is

Π (c (y) \partial_{y}^{α} δ^{(3)} (y - z)) = (- 1)^{∣ α ∣} [\partial_{y}^{α} {G_{Δ} (x - y) c (y)}]_{y = z},

interpreted distributionally. This retains derivatives of both the coefficient and the Green kernel.

Displayed formulas in this passage

unlabeled · line 1321
$Π (c (y) \partial_{y}^{α} δ^{(3)} (y - z)) = (- 1)^{∣ α ∣} [\partial_{y}^{α} {G_{Δ} (x - y) c (y)}]_{y = z},$