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Infrared divergences and confinement in massive (2+1)-dimensional QED
Phys. Rev. D 41, 1227 – Published 15 February, 1990
DOI: https://doi.org/10.1103/PhysRevD.41.1227
Abstract
In (2+1)-dimensional quantum electrodynamics with massless photons and massive matter fields, it is shown that the mass renormalization of the latter is infrared divergent at one loop. This result remains unchanged at two loops. A simple argument based on a similar divergence of the Coulomb potential leads us to conjecture that charged states are not observable in this model. This argument holds in 1+1 dimensions also.
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