Manuscript VII-D@1 · VII-D.tex · section · ef67c89c

Source convention sheet

Source convention sheet · lines 292–323

VII-D@1#sc:residue, VII-D@1#sc:off

{Locked residue (eq:ray, eq:residue, thm:log).}

A_{f} (y, n) = \int_{R} f (t, y + (t + s) n) d t, c_{0} = \frac{1}{64 ( 2 π ) ^{3}}, C (f, g, f^{'}) = c_{0} \int g (y) d^{4} y \int_{S^{2}} A_{f} (y, n) A_{f^{'}} (y, n) d Ω (n), G_{ε} (f, g, f^{'}) = C (f, g, f^{'}) lo g (ε^{- 1}) + O (1) .

Here $d Ω$ is ordinary surface area measure: $\int_{S^{2}} d Ω = 4 π$ .

{Off-shell identity (eq:reconstruction).}

h = U (γ_{0} h, γ_{1} h) + E_{0} j, j = □ h .

The source is retained. Equation (sc:covariance) does not set a classical field to zero.

Displayed formulas in this passage

VII-D@1#sc:residue · line 296
$A_{f} (y, n) = \int_{R} f (t, y + (t + s) n) d t, c_{0} = \frac{1}{64 ( 2 π ) ^{3}}, C (f, g, f^{'}) = c_{0} \int g (y) d^{4} y \int_{S^{2}} A_{f} (y, n) A_{f^{'}} (y, n) d Ω (n), G_{ε} (f, g, f^{'}) = C (f, g, f^{'}) lo g (ε^{- 1}) + O (1) .$
VII-D@1#sc:off · line 314
$h = U (γ_{0} h, γ_{1} h) + E_{0} j, j = □ h .$