The discussion centers on the relationship between the two-particle Green function and Hartree-Fock (HF) theory, specifically questioning how the splitting of the Green function leads to HF equations. Participants express confusion about the graphical representations and their alignment with the equations, particularly regarding the propagation of particles and the validity of certain figures. There is a desire for a simpler approach to understanding many-body physics, as the existing literature often relies on Wick's theorem, which may not be accessible to beginners. The need for a formal proof of the HF equations, akin to that of the Hartree potential, is emphasized. Overall, the conversation highlights the complexities of connecting Green functions to HF theory and the challenges faced by those new to the subject.
