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arXiv · hep-ph/9907445

Confinement and the analytic structure of the one body propagator in Scalar QED

Cetin Savkli·Franz Gross·John Tjon
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Abstract

We investigate the behavior of the one body propagator in SQED. The self energy is calculated using three different methods: i) the simple bubble summation, ii) the Dyson-Schwinger equation, and iii) the Feynman-Schwinger represantation. The Feynman-Schwinger representation allows an {\em exact} analytical result. It is shown that, while the exact result produces a real mass pole for all couplings, the bubble sum and the Dyson-Schwinger approach in rainbow approximation leads to complex mass poles beyond a certain critical coupling. The model exhibits confinement, yet the exact solution still has one body propagators with {\it real} mass poles.

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Cetin Savkli, Franz Gross, John Tjon. 2000-09-19. Confinement and the analytic structure of the one body propagator in Scalar QED. https://doi.org/10.1103/physrevd.62.116006

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