λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript Oai069-A@1 · Oai069-A.tex · section · a4913aab

A finite Ward-contact consistency certificate

Phase 3: an independent free-scalar consistency audit › A finite Ward-contact consistency certificate · lines 1536–1558

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Supply matrix-valued joint insertion distributions

T_{μν}, L, P_{ν}, S, C_{X}

on a declared joint-test domain. All mixed products and derivative conventions are specified. Define

t_{μν} = T_{μν} + \frac{1}{3} (\partial_{μ} \partial_{ν} - η_{μν} □) L,

E_{ν} = \partial^{μ} T_{μν} - P_{ν}, E_{tr} = T^{μ}_{μ} - □ L - S,

K_{X} = X^{ν} P_{ν} + σ_{X} S - C_{X} .

Displayed formulas in this passage

unlabeled · line 1539
$T_{μν}, L, P_{ν}, S, C_{X}$
unlabeled · line 1545
$t_{μν} = T_{μν} + \frac{1}{3} (\partial_{μ} \partial_{ν} - η_{μν} □) L,$
unlabeled · line 1551
$E_{ν} = \partial^{μ} T_{μν} - P_{ν}, E_{tr} = T^{μ}_{μ} - □ L - S,$
unlabeled · line 1555
$K_{X} = X^{ν} P_{ν} + σ_{X} S - C_{X} .$

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