Dyson equation approach to many-body Green’s functions and self-consistent RPA: Application to the Hubbard model
Dyson equation approach to many-body Green’s functions and self-consistent RPA: Application to the Hubbard model
An approach for particle-hole correlation functions, based on the so-called SCRPA, is developed. This leads to a fully self-consistent RPA-like theory which satisfies the $f$-sum rule and several other theorems. As a first step, a simpler self-consistent approach, the renormalized RPA, is solved numerically in the one-dimensional Hubbard model. The …