Bethe-Salpeter equation in Minkowski space with cross-ladder kernel

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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7 pages, 5 figures, to appear in the proceedings of the Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, Cairns,

Scientific paper

10.1016/j.nuclphysbps.2006.08.06

A new method for solving the Bethe-Salpeter equation is developed. It allows
to find the Bethe-Salpeter amplitudes both in Minkowski and in Euclidean spaces
and, as a by product, the light-front wave function. The method is valid for
any kernel given by irreducible Feynman graphs. Bethe-Salpeter and Light-Front
equations for scalar particles with ladder + cross-ladder kernel are solved.

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