Manuscript X-L-ST@1 · X-L-ST.tex · section · 20a32a22

The complete free Green matrix

The normalized free auxiliary–ghost package › The complete free Green matrix · lines 534–564

X-L-ST@1#eq:fullGreen

For the ghost ordering $(c, c ˉ)$ , use

L_{gh} = (0 - □ □ 0), G_{gh}^{R / A} = (0 E_{0}^{R / A} - E_{0}^{R / A} 0) .

The quadratic ghost expression $\frac{1}{2} (c, c ˉ) L_{gh} (c, c ˉ)^{T}$ is $- \int c ˉ □ c$ , with the displayed ordering.

Thus the full free matrix is

G_{0}^{R / A} = - 4 P_{tr} E_{0} - 2 C P_{tr} E_{0} 000 K E_{0} 0000 00 - E_{m} 00 0000 E_{0} 000 - E_{0} 0^{R / A} .

Displayed formulas in this passage

X-L-ST@1#eq:fullGreen · line 552
$G_{0}^{R / A} = - 4 P_{tr} E_{0} - 2 C P_{tr} E_{0} 000 K E_{0} 0000 00 - E_{m} 00 0000 E_{0} 000 - E_{0} 0^{R / A} .$
unlabeled · line 537
$L_{gh} = (0 - □ □ 0), G_{gh}^{R / A} = (0 E_{0}^{R / A} - E_{0}^{R / A} 0) .$