Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-07-21
Phys.Rev. D62 (2000) 116006
Physics
High Energy Physics
High Energy Physics - Phenomenology
5 pages 2 figures, accepted for publication in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.62.116006
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.
Gross Franz
Savkli Cetin
Tjon John
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