Confinement and complex singularities in three-dimensional QED
- 15 November 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 52 (10), 6087-6097
- https://doi.org/10.1103/physrevd.52.6087
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 masslike 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 three-dimensional QED.Keywords
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