Correlation Dynamics of Green's Functions

Abstract

We generalize the methods used in the theory of correlation dynamics and establish a set of equations of motion for many-body correlation green's functions in the non-relativistic case. These non-linear and coupled equations of motion describe the dynamical evolution of correlation green's functions of different order and transparently show how many-body correlations are generated by the different interaction terms in a genuine nonperturbative framework. The nonperturbative results of the conventional green's function theory are included in the present formalism as two limiting cases (the so-called ladder diagram summation and ring diagram summation) as well as the familiar correlation dynamics of density-matrices in the equal time limit. We present explicit expressions for three- and four-body correlation functions that can be used to dynamically restore the trace relations for spin-symmetric fermi systems and study numerically the relative importance of two-, three- and four-body correlations for nuclear configurations close to the groundstate.

29 LATEX pages, 2 figures available upon request, UGI-94-02

Cited by in corpus (10)

• Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies
• Parton transport and hadronization from the dynamical quasiparticle point of view
• Extended evolution equations for neutrino propagation in astrophysical and cosmological environments
• Semiclassical transport of particles with dynamical spectral functions
• Equilibration within a semiclassical off-shell transport approach
• Truncation scheme of time-dependent density-matrix approach
• A fast impurity solver based on equations of motion and decoupling
• Vibrations versus collisions and the iterative structure of two-body dynamics
• Two-Body Correlations in Pionic Systems
• Convergence properties of the equal-time connected Green function approach for temporal gauge SU(2)_{2+1} Yang-Mills theory