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arXiv · hep-th/9512168

Positronium States in QED3

T. W. Allen·C. J. Burden
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Abstract

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 Schrödinger equation, and comparisons made with existing non-relativistic calculations.

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T. W. Allen, C. J. Burden. 1995-12-21. Positronium States in QED3. https://doi.org/10.1103/physrevd.53.5842%2010.1103%2Fphysrevd.54.6567

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