Manuscript IX-Free@1 · IX-Free.tex · section · 33b20e96

F5–F6: actual maps and the remaining overlap gates

F5–F6: actual maps and the remaining overlap gates · lines 1105–1121

IX-Free@1#eq:oneedges

The inherited one-edge outputs are

G_{12} = Q_{f, g} B_{f^{'}}, G_{23} = B_{f} Q^{R}_{g, f^{'}}, G_{13} = T_{f, f^{'}} W_{g},

where

T_{f, f^{'}} = \int f (x) f^{'} (x^{'}) S_{μν} (x, x^{'}) w^{μ} (x) w^{ν} (x^{'}) d^{4} x d^{4} x^{'} .

Displayed formulas in this passage

IX-Free@1#eq:oneedges · line 1109
$G_{12} = Q_{f, g} B_{f^{'}}, G_{23} = B_{f} Q^{R}_{g, f^{'}}, G_{13} = T_{f, f^{'}} W_{g},$
unlabeled · line 1116
$T_{f, f^{'}} = \int f (x) f^{'} (x^{'}) S_{μν} (x, x^{'}) w^{μ} (x) w^{ν} (x^{'}) d^{4} x d^{4} x^{'} .$