Dynamics of Many-Body Correlation Green's Functions I. The Equations of Motion for Many-Body Correlation Green's Functions

Shun-Jin Wang, Zuo Wei

This document was prepared as an account of

Ang S

Under equal time limit, it is shown that the dynamic equations of the n-body correlation Green's functions G_c~(n) leads to the set of equations for time evolution of the n-body correlations c_n and the many-body correlation Green's functions and their equations of motion are independent of the time order.

Zuo Wei, Hua Guo, Shun-Jin Wang

With the aid of generating-functional technique, the many-body correlation dynamics was generalized to the relativistic cases within a Green's function formalism and two sets of equations of motion for the correlation (or connected) Green's functions were derived respectively for the scalar -model and the Yukawa model, which were nonperturbative in nature and could provide physically transparent truncations with respect to the order of correlations.

No author provided

Qingguo Feng

In this paper some new physical notations are given for the Green's functions and equations of motion (EOM) in many body physics with the concept of quasiparticles. It shows how the many body correlations existing in many body systems can be taken into account through the derivation of EOMs self-consistently. The scheme is compared with the expansion of Feynman diagrams. Finally some further discussions are given for the unique properties of EOM techniques in helping to model a system and the interactions self-consistently.

e.H. Hellal