This PR provides a new module for solving the dyson equation $$\Sigma = G{0}^{-1} - G^{-1}$$ as a constrained minimization problem ($G - G{0} - G{0}\Sigma G = 0$), where the constraints are the high frequency moments of the self energy ($\Sigma{\infty}, \Sigma{1}$) which can be directly measured in cthyb. We use the dlr basis to represent $G{0}$, $G$, and $\Sigma$ and minimize the values of the self energy on the dlr nodes.
the-hampel
commented
6 months ago
This PR provides a new module for solving the dyson equation $$\Sigma = G{0}^{-1} - G^{-1}$$ as a constrained minimization problem ($G - G{0} - G{0}\Sigma G = 0$), where the constraints are the high frequency moments of the self energy ($\Sigma{\infty}, \Sigma{1}$) which can be directly measured in cthyb. We use the dlr basis to represent $G{0}$, $G$, and $\Sigma$ and minimize the values of the self energy on the dlr nodes.