Manuscript II@2 · II.tex · proposition · 50d64def

Proposition: Reference longitudinal response

Ward reduction and coupling factorization › Channel reduction · lines 845–864 · proof included or linked

II@2#prop:channel, II@2#eq:channel

The response $F (d)$ of the reference action is

F (d) = (D_{s} - D) W_{2} + (D_{t} - D) W_{3} + (D_{u} - D) W_{4} .

Proof. The exchanges contribute $- D_{s} X_{2} - D_{t} X_{3} - D_{u} X_{4} = D_{s} W_{2} + D_{t} W_{3} + D_{u} W_{4}$ . The reference quartic coefficient is $D$ . Its response is $- D (W_{2} + W_{3} + W_{4})$ by (eq:ward4).

Displayed formulas in this passage

II@2#eq:channel · line 848
$F (d) = (D_{s} - D) W_{2} + (D_{t} - D) W_{3} + (D_{u} - D) W_{4} .$

Nearby in this section

section: Channel reduction
section: Channel reduction