Positronium states in three-dimensional QED

T. W. Allen, C. J. Burden
1996 Physical Review D, Particles and fields  
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
more » ... "{o}dinger equation, and comparisons made with existing non-relativistic calculations.
doi:10.1103/physrevd.53.5842 pmid:10019872 fatcat:pyunyavy6jgwjdgqmol2ztsc44