Static forces and virtual-particle exchange: Difference between revisions

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Static fields: vector notation
The Coulomb force: spacetime metric
Line 286:
\eta_{\mu \nu} \left ( \partial^2 + m^2\right ) D\left ( x-y \right ) = \delta_{\mu \nu} \delta^4\left ( x-y \right )
</math>.
 
Here, the [[spacetime]] metric is given by
 
:<math>\eta_{\mu\nu} = \begin{pmatrix}
1 & 0 & 0 & 0\\
0 & -1 & 0 & 0\\
0 & 0 & -1 & 0\\
0 & 0 & 0 & -1
\end{pmatrix}
.</math>
 
This yields