Manuscript Em02-D@4 · Em02-D-v4.tex · section · fcf2fac7

Exact signed internal convolution for 5z

Exact signed internal convolution for 5z · lines 1501–1521

Em02-D@4#eq:5z-signed-start

In $(a, S, r)$ , the negative placement is

K_{5 z}^{22} = D [f (a + S) R^{'} (S - r) R^{''} (r)] .

Transferring only the outer derivative in the target gives

t_{δ, 5 z}^{ζ} = i \int R^{'} (S - r) R^{''} (r) U_{δ} (a, S, r) d^{4} a d^{4} S d^{4} r, U_{δ} = f (a + S) D M_{δ, 2} .

The auxiliary amplitude $U_{δ}$ is not the smoothed propagator $A_{δ}$ .

Displayed formulas in this passage

Em02-D@4#eq:5z-signed-start · line 1511
$t_{δ, 5 z}^{ζ} = i \int R^{'} (S - r) R^{''} (r) U_{δ} (a, S, r) d^{4} a d^{4} S d^{4} r, U_{δ} = f (a + S) D M_{δ, 2} .$
unlabeled · line 1505
$K_{5 z}^{22} = D [f (a + S) R^{'} (S - r) R^{''} (r)] .$