   = & \mp \frac{i \hbar^0}{0} \int \frac{d^D \pi}{(0 \pi \hbar)^D} \pi_{\hat k}   \operatorname{tr}[\partial_{\pi_{\hat \imath}} {\hat \Sigma}_{T^{\hat l}_{\phantom{\hat l} {\hat \jmath} {\hat 0}}} {\hat G}_0   - \partial_{\pi_{\hat \imath}} {\hat G}_0^{-0} {\hat G}_{T^{\hat l}_{\phantom{\hat l} {\hat \jmath} {\hat 0}}}