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Complexica (talk | contribs) →The probability amplitude: spacetime metric |
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where <math> \mathcal{L} [\varphi (x)] </math> is the [[Lagrangian]] density. We are using [[natural units]], <math> \hbar = c = 1 </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>
The path integral often can be converted to the form
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