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Schwinger-Dyson equation for massless vector theory and the absence of a fermion pole
Authors:Reijiro Fukuda  Taichiro Kugo
Institution:Research Institute for Fundamental Physics, Kyoto University, Kyoto, 606 Japan;Department of Physics, Kyoto University, Kyoto, 606 Japan
Abstract:The Schwinger-Dyson equation of the fermion propagator in the massless vector theory is discussed. It is found that the Baker-Johnson-Willey solution in lowest approximation is in fact a confining solution: the Fermion propagator has no pole or cut in the time-like region. Discussions of homogeneous and inhomogeneous equations with momentum integration cut-off are also given in some detail.
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