Manuscript XIV-J@1 · XIV-J.tex · input · 1c0e72ca

Input statement: XII-E roots and XII-C source

J0: copied premises and their domains › Earlier analytic handoffs · lines 727–759

XIV-J@1#input:EC, XIV-J@1#eq:source

The normalization and filled slots remain

G_{gr}^{R} = - P E_{0}^{R}, r_{D} = P E_{0}^{R} J_{D}, r_{g} [ϕ] = - \frac{1}{2} P E_{0}^{R} (g T_{0} [ϕ]) .

The roots are

A_{1} [f, g] (r; ϕ) = \int α_{f, g} [ϕ] \cdot r d^{4} x, β_{f, g} [ϕ] = - E_{0}^{A} (P α_{f, g} [ϕ]) .

The scalar-sourced slot is included once XIIE.

The actual source is

J_{D}^{μν} D_{σ}_{ε}^{μν} = EL_{γ} (σ_{ε} ℓ_{3})^{μν} = σ_{ε} J_{3}^{μν} + D_{σ}_{ε}^{μν}, = 2 C_{2}^{μν α β} \partial_{α} \partial_{β} σ_{ε} - 2 M_{2}^{μν ρ} \partial_{ρ} σ_{ε} .

The unintegrated cubic representative is fixed before weighting, and the selected action weights only that cubic coefficient XIIC.

Displayed formulas in this passage

XIV-J@1#eq:source · line 745
$J_{D}^{μν} D_{σ}_{ε}^{μν} = EL_{γ} (σ_{ε} ℓ_{3})^{μν} = σ_{ε} J_{3}^{μν} + D_{σ}_{ε}^{μν}, = 2 C_{2}^{μν α β} \partial_{α} \partial_{β} σ_{ε} - 2 M_{2}^{μν ρ} \partial_{ρ} σ_{ε} .$
unlabeled · line 730
$G_{gr}^{R} = - P E_{0}^{R}, r_{D} = P E_{0}^{R} J_{D}, r_{g} [ϕ] = - \frac{1}{2} P E_{0}^{R} (g T_{0} [ϕ]) .$
unlabeled · line 736
$A_{1} [f, g] (r; ϕ) = \int α_{f, g} [ϕ] \cdot r d^{4} x, β_{f, g} [ϕ] = - E_{0}^{A} (P α_{f, g} [ϕ]) .$