Manuscript X-J-ST@1 · X-J-ST.tex · definition · 8f0d1a36

Definition: The two coefficients

Section A: two action-derived compact charged coefficients › Finite polarization of the retained vertex · lines 696–714

X-J-ST@1#def:coefficients, X-J-ST@1#eq:polarization, X-J-ST@1#eq:Ci

For $i = 1, 2$ , set

P_{i} [ϕ] C_{i} [ϕ] = 3! [z^{3}] [κ^{3}] \partial_{λ} S_{λ} [r, ϕ + z u_{i}, c, c ˉ, b, Φ^{*}], = \frac{P _{i} [ ϕ ] - P _{i} [ ϕ _{cal} ]}{M _{i}} .

Their order-labelled diagnostic insertions are

O_{i} (κ) = κ^{3} C_{i} .

These insertions are not added to the action.

Displayed formulas in this passage

X-J-ST@1#eq:polarization · line 699
$P_{i} [ϕ] C_{i} [ϕ] = 3! [z^{3}] [κ^{3}] \partial_{λ} S_{λ} [r, ϕ + z u_{i}, c, c ˉ, b, Φ^{*}], = \frac{P _{i} [ ϕ ] - P _{i} [ ϕ _{cal} ]}{M _{i}} .$
X-J-ST@1#eq:Ci · line 699
$P_{i} [ϕ] C_{i} [ϕ] = 3! [z^{3}] [κ^{3}] \partial_{λ} S_{λ} [r, ϕ + z u_{i}, c, c ˉ, b, Φ^{*}], = \frac{P _{i} [ ϕ ] - P _{i} [ ϕ _{cal} ]}{M _{i}} .$
unlabeled · line 710
$O_{i} (κ) = κ^{3} C_{i} .$