Study of relativistic bound states for scalar theories in Bethe-Salpeter and Dyson-Schwinger formalism
arXiv:hep-ph/0111433 · doi:10.1103/PhysRevD.67.085007
Abstract
The Bethe-Salpeter equation for Wick-Cutkosky like models is solved in dressed ladder approximation. The bare vertex truncation of the Dyson-Schwinger equations for propagators is combined with the dressed ladder Bethe-Salpeter equation for the scalar S-wave bound state amplitudes. With the help of spectral representation the results are obtained directly in Minkowski space. We give a new analytic formula for the resulting equation simplifying the numerical treatment. The bare ladder approximation of Bethe-Salpeter equation is compared with the one with dressed ladder. The elastic electromagnetic form factors is calculated within the relativistic impulse approximation.
30 pages, 10 figures, accepted for publication in Phys. Rev. D
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Cited by in corpus (23)
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