Positronium States in QED3
T. W. Allen, C. J. Burden (Australain National University.)
TL;DR
This paper investigates positronium states in QED3 using Bethe-Salpeter and Schwinger-Dyson equations, analyzing the fermion propagator's structure and comparing relativistic and non-relativistic results.
Contribution
It provides a detailed analysis of positronium in QED3 within the quenched ladder approximation, including derivations of the Schrödinger equation from relativistic frameworks.
Findings
Analysis of fermion propagator's analytic structure
Derivation of Schrödinger equation in large mass limit
Comparison with non-relativistic calculations
Abstract
The - 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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