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arXiv · hep-ph/9508323

Confinement and complex singularities in QED3

P. Maris
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Abstract

The standard approximations of the Dyson--Schwinger equation lead to complex singularities of the fermion propagator. In three-dimensional QED one can show that this phenomenon might be related to confinement: a confining potential leads to mass-like singularities at complex momenta, and thus to the absence of a mass singularity on the real timelike axis. The correct treatment of the vacuum polarization is essential for the confining nature of QED3.

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P. Maris. 1995-08-18. Confinement and complex singularities in QED3. https://doi.org/10.1103/physrevd.52.6087

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