Manuscript XVI-K@1 · XVI-K.tex · assumption · aa7553bb

Assumption: Insertion polarization and graph convention

Setting, explicit interfaces, and normalization › Inherited interfaces · lines 347–367

XVI-K@1#ass:normalization

Use the ordinary second tensor derivative of the supplied quadratic insertion:

F_{t} (h, φ) = ⟨ t_{D}, h \otimes h \otimes φ ⟩, D_{h}^{2} F_{t} [A, C] = 2 ⟨ t_{D}, A \otimes C \otimes φ ⟩ .

Use the symmetric quadratic source polarization

s (X, Y) = \frac{1}{2} (Q (X + Y) - Q (X) - Q (Y)),

and count the symmetry factor $1/2!$ for the two identical edges once. These conventions match the retained XVI-J sector. Coupling and loop weights are not included in the coefficient defined below.

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unlabeled · line 351
$F_{t} (h, φ) = ⟨ t_{D}, h \otimes h \otimes φ ⟩, D_{h}^{2} F_{t} [A, C] = 2 ⟨ t_{D}, A \otimes C \otimes φ ⟩ .$
unlabeled · line 359
$s (X, Y) = \frac{1}{2} (Q (X + Y) - Q (X) - Q (Y)),$

Assumption: Insertion polarization and graph convention

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