Solving the Bethe-Salpeter equation for a pseudoscalar meson in Minkowski space

Details Solving the Bethe-Salpeter equation for a pseudoscalar meson in Minkowski space Solving the Bethe-Salpeter equation for a pseudoscalar meson in Minkowski space

2008-02-20

arxiv.org/abs/0802.2955v1

J.Phys.G35:2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1088/0954-3899/35/3/035005

A new method of solution of the Bethe-Salpeter equation for a pseudoscalar quark-antiquark bound state is proposed. With the help of an integral representation, the results are directly obtained in Minkowski space. Dressing of Green's functions is naturally taken into account, thus providing the possible inclusion of a running coupling constant as well as quark propagators. First numerical results are presented for a simplified ladder approximation.

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