- #1
flix
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ok, quick and dirty and stupid question about calculation rules with 4 gradients:
consider the Klein Gordon Lagrangian [tex]L_{KG} = \frac{1}{2} \partial_{\mu}\Phi\partial^{\mu} \Phi - \frac{1}{2} m^2 \Phi^2 [/tex].
Why is
[tex] \partial_{\mu} \left( \frac{\partial L_{KG} }{\partial(\partial_{\mu} \Phi)} \right) = \partial_{\mu}\partial^{\mu} \Phi[/tex]
Where does the factor 2 come from that cancels out the 1/2 ?
consider the Klein Gordon Lagrangian [tex]L_{KG} = \frac{1}{2} \partial_{\mu}\Phi\partial^{\mu} \Phi - \frac{1}{2} m^2 \Phi^2 [/tex].
Why is
[tex] \partial_{\mu} \left( \frac{\partial L_{KG} }{\partial(\partial_{\mu} \Phi)} \right) = \partial_{\mu}\partial^{\mu} \Phi[/tex]
Where does the factor 2 come from that cancels out the 1/2 ?