English

Positronium States in QED3

High Energy Physics - Theory 2014-11-18 v1

Abstract

The ee^--e+e^+ bound state spectrum of QED3 is investigated in the quenched ladder approximation to the homogeneous Bethe-Salpeter equation with fermion propagators from a rainbow approximation Schwinger-Dyson equation. A detailed analysis of the analytic structure of the fermion propagator is performed so as to test the appropriateness of the methods employed. The large fermion mass limit of the Bethe-Salpeter equation is also considered, including a derivation of the Schr\"{o}dinger equation, and comparisons made with existing non-relativistic calculations.

Cite

@article{arxiv.hep-th/9512168,
  title  = {Positronium States in QED3},
  author = {T. W. Allen and C. J. Burden},
  journal= {arXiv preprint arXiv:hep-th/9512168},
  year   = {2014}
}

Comments

22 pages plus 12 postscript figures, uuencoded

R2 v1 2026-07-22T15:57:38.998Z