Manuscript XI-A@1 · XI-A.tex · section · b8211ecc

Stress tensor and the first vertex

Metric Euler derivative through coupling order two › Stress tensor and the first vertex · lines 588–598

Put $p_{μ} = \partial_{μ} ϕ$ and define

ℓ_{q} = \frac{1}{2} (q^{α β} p_{α} p_{β} - m^{2} ϕ^{2}), T_{q}^{μν} = q^{μα} q^{ν β} p_{α} p_{β} - q^{μν} ℓ_{q} .

Write $T_{0} = T_{η}$ and $ℓ_{0} = L_{η}$ .

Displayed formulas in this passage

unlabeled · line 591
$ℓ_{q} = \frac{1}{2} (q^{α β} p_{α} p_{β} - m^{2} ϕ^{2}), T_{q}^{μν} = q^{μα} q^{ν β} p_{α} p_{β} - q^{μν} ℓ_{q} .$