Vector Positronium States in QED3
T. W. Allen, C. J. Burden (Department of Theoretical Physics,, Australian National University, Canberra)
TL;DR
This paper solves the Bethe-Salpeter equation for vector positronium in QED3, exploring bound states with various fermion masses and drawing analogies to QCD meson spectra.
Contribution
It extends previous scalar spectrum studies by analyzing vector states in QED3 using Bethe-Salpeter and Dyson-Schwinger equations, including non-relativistic limits.
Findings
Vector positronium states characterized in QED3
Impact of fermion mass on bound state spectrum
Analogies with QCD meson classification
Abstract
The homogeneous Bethe-Salpeter equation is solved in the quenched ladder approximation for the vector positronium states of 4-component quantum electrodynamics in 2 space and 1 time dimensions. Fermion propagator input is from a Rainbow approximation Dyson-Schwinger solution, with a broad range of fermion masses considered. This work is an extension of earlier work on the scalar spectrum of the same model. The non-relativistic limit is also considered via the large fermion mass limit. Classification of states via their transformation properties under discrete parity transformations allows analogies to be drawn with the meson spectrum of QCD.
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