Study of relativistic bound states for scalar theories in Bethe-Salpeter and Dyson-Schwinger formalism

Details Study of relativistic bound states for scalar theories in Bethe-Salpeter and Dyson-Schwinger formalism Study of relativistic bound states for scalar theories in Bethe-Salpeter and Dyson-Schwinger formalism

2001-11-29

arxiv.org/abs/hep-ph/0111433v2

Phys.Rev. D67 (2003) 085007

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 10 figures, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.67.085007

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.

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