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Attractive Forces Between Electrons in QED$_{3}$

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arxiv hep-th/9210158 v1 pith:QMSHB73D submitted 1992-10-30 hep-th

classification hep-th
keywords attractivebosonboundcharacteristiceffectselectron-electronelectronseliminate
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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$_3$.

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  1. Nonrelativistic effective potential of the bumblebee model

    hep-th 2025-12 conditional novelty 5.0 of 10

    The leading-order nonrelativistic potential in the bumblebee model is a Coulomb potential with charge rescaled by (1 - (mβξ/2)^2), producing a hydrogen level shift of order m^3β^2ξ^2.

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