Positronium States in QED3

Details Positronium States in QED3 Positronium States in QED3

1995-12-21

arxiv.org/abs/hep-th/9512168v1

Phys.Rev.D53:5842,1996; Erratum-ibid.D54:6567,1996

Physics

High Energy Physics

High Energy Physics - Theory

22 pages plus 12 postscript figures, uuencoded

Scientific paper

10.1103/PhysRevD.53.5842 10.1103

The $e^-$-$e^+$ 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.

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