Confinement and complex singularities in QED3
arXiv:hep-ph/9508323 · doi: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 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.
18 pages, REVTeX, 7 uuencoded figures appended