Manuscript Oai282-B@1 · Oai282-B.tex · section · f2956de5

Improvement and conformal Killing fields

Improvement and conformal Killing fields · lines 703–715

Define

A_{μν} = : \partial_{μ} ϕ \partial_{ν} ϕ :, K = : \partial_{ρ} ϕ \partial^{ρ} ϕ :, T_{μν} = A_{μν} - \frac{1}{2} η_{μν} K .

The free equation $□ ϕ = 0$ holds as a field identity.

Displayed formulas in this passage

unlabeled · line 707
$A_{μν} = : \partial_{μ} ϕ \partial_{ν} ϕ :, K = : \partial_{ρ} ϕ \partial^{ρ} ϕ :, T_{μν} = A_{μν} - \frac{1}{2} η_{μν} K .$