Attractive Forces Between Electrons in QED${}_3$

Abstract

Vacuum polarization effects are non-perturbatively incorporated into the photon propagator to eliminate the severe infrared problems characteristic of QED${}_3$. The theory is thus rephrased in terms of a massive vector boson whose mass is $e^2/(8\pi )$. Subsequently, it is shown that electron-electron bound states are possible in QED${}_3$.

revtex, 10 pages and four figures, IFUSP/P-986

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