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--- equations:proca_equation [2018/04/02 13:53]
jakobadmin [Concrete]
+++ equations:proca_equation [2018/04/02 13:53]
jakobadmin [Concrete]
@@ Line 20: / Line 20: @@
 The general solution for the Proca equation is
-\begin{equation} m^2 A^\rho = \frac{1}{2}    \partial_\sigma ( \partial^\sigma A^\rho -  \partial^\rho  A^\sigma) \end{equation}
-is, analogous to the spin $0$ field solution, of the form
 \begin{align} A_\mu &=  \int \frac{d^3 k}{\sqrt{ (2\pi)^3 2 \omega_k}} \left( \epsilon_{r,\mu}(k) a_r(k) {\mathrm{e}}^{-ikx} + \epsilon_{r,\mu}(k) a_r^\dagger(k) {\mathrm{e}}^{ikx}  \right) \notag \\
  \label{eq:aplusminus} &\equiv  A_\mu^+ + A_\mu^-   \end{align}