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On the other hand we have for the retarded and advanced self-energies  \begin{equation}  \Sigma^{r,h}_{\alpha\delta}(\epsilon) = -i\Gamma_{\alpha\delta}(-\epsilon),\quad \Sigma^{a,h}_{\alpha\delta} = i\Gamma_{\alpha\delta}(-\epsilon)  \end{equation}  and   \begin{equation}  \Sigma^{r,e}_{\alpha\delta}(\epsilon) = -i\Gamma_{\alpha\delta}(\epsilon),\quad \Sigma^{a,e}_{\alpha\delta} = i\Gamma_{\alpha\delta}(\epsilon)  \end{equation}  Similar equations are hold for $\Sigma^>$