Manuscript XIV-H@1 · XIV-H.tex · section · 695c7c3a

The root keeps both terms

H2c: the scalar gravitational-response leg › The root keeps both terms · lines 1118–1139

XIV-H@1#eq:K9

Let $F = E_{m}^{A} f$ , the inherited smooth advanced observation root. The scalar leg uses the response kernel (eq:responsekernel), with its output at the scalar attachment $b$ . Its exact untested kernel is

K_{9}^{I, J} (a, b, z) = - \partial_{b^{ν}} [g (b) \partial_{b^{μ}} F (b) A^{μν}_{L} T^{L, I, J} (b; a, z)] - m^{2} g (b) F (b) b_{L} T^{L, I, J} (b; a, z) .

Displayed formulas in this passage

XIV-H@1#eq:K9 · line 1124
$K_{9}^{I, J} (a, b, z) = - \partial_{b^{ν}} [g (b) \partial_{b^{μ}} F (b) A^{μν}_{L} T^{L, I, J} (b; a, z)] - m^{2} g (b) F (b) b_{L} T^{L, I, J} (b; a, z) .$

Nearby in this section

proposition: Proposition: Scalar-leg representation
section: The root keeps both terms