There are no abnormal solutions of the Bethe$-$Salpeter equation in the static model

Details There are no abnormal solutions of the Bethe$-$Salpeter equation in the static model There are no abnormal solutions of the Bethe$-$Salpeter equation in the static model

1995-12-21

arxiv.org/abs/hep-th/9512172v2

J.Phys.G22:1119-1126,1996

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex

Scientific paper

10.1088/0954-3899/22/8/002

The four-point Green's function of static QED, where a fermion and an antifermion are located at fixed space positions, is calculated in covariant gauges. The bound state spectrum does not display any abnormal state corresponding to excitations of the relative time. The equation that was established by Mugibayashi in this model and which has abnormal solutions does not coincide with the Bethe$-$Salpeter equation. Gauge transformation from the Coulomb gauge also confirms the absence of abnormal solutions in the Bethe$-$Salpeter equation.

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