Before revision: There exists a number of ways to solve the AIM, such as The Numerical renormalization group Exact diagonalization Iterative perturbation theory Non-crossing approximation Continuous-time quantum Monte Carlo algorithms Self-consistency equations The self-consistency condition requires the impurity Green's function to coincide with the local lattice Green's function : where denotes the lattice self-energy.
After revision: re exists a number of ways to solve the AIM, such as The Numerical renormalization group Exact diagonalization Iterative perturbation theory Non-crossing approximation Continuous-time quantum Monte Carlo algorithms Self-consistency equations The self-consistency condition requires the impurity Green's function to coincide with the local lattice Green's function : where denotes the lattice self-energy.