English

RPA equations and the instantaneous Bethe-Salpeter equation

Nuclear Theory 2008-02-03 v2 High Energy Physics - Phenomenology

Abstract

We give a derivation of the particle-hole RPA equations for an interacting multi-fermion system by applying the instantaneous approximation to the amputated two-fermion propagator of the system. In relativistic field theory the same approximation leads from the fermion-antifermion Bethe-Salpeter equation to the Salpeter equation. We show that RPA equations and Salpeter equation are indeed equivalent.

Keywords

Cite

@article{arxiv.nucl-th/9312013,
  title  = {RPA equations and the instantaneous Bethe-Salpeter equation},
  author = {J. Resag and D. Schütte},
  journal= {arXiv preprint arXiv:nucl-th/9312013},
  year   = {2008}
}

Comments

6 pages, RevTeX, Bonn TK-93-19