deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 57f02ca..6f29fb6 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\\   \Biggr\{  V_{\beta k} V_{\gamma q}^{*} [G^>_{\beta\gamma}(\epsilon) G^{h,<}_{qk}(\omega+\epsilon) - G^{>}_{\beta q}(\epsilon)G^{h,<}_{\gamma k}(\epsilon+\omega)]  + V_{\beta k}^{*}V_{\gamma q} [G^{>,t}_{kq}(\epsilon_1) [G^{>,h}_{kq}(\epsilon_1)  G^{<}_{\gamma\beta}(\epsilon+\omega) - G^{h,>}_{k\gamma}(\epsilon)G^{<}_{q \beta}(\epsilon+\omega)]\Biggr\}\,, \end{multline}  Let us treat first the following term: $\sum_{k\beta,q\gamma} V_{\beta k} V_{\gamma q}^{*} [G^>_{\beta\gamma}(\epsilon) G^{h,<}_{qk}(\omega+\epsilon) - G^{>}_{\beta q}(\epsilon)G^{h,<}_{\gamma k}(\epsilon+\omega)]$  Then,