Schwinger-Dyson equation for massless vector theory and the absence of a fermion pole |
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Authors: | Reijiro Fukuda Taichiro Kugo |
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Institution: | Research Institute for Fundamental Physics, Kyoto University, Kyoto, 606 Japan;Department of Physics, Kyoto University, Kyoto, 606 Japan |
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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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