Solving Bethe-Salpeter equation in Minkowski space

Details Solving Bethe-Salpeter equation in Minkowski space Solving Bethe-Salpeter equation in Minkowski space

2005-05-30

arxiv.org/abs/hep-th/0505261v2

Eur.Phys.J. A27 (2006) 1-9

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 4 figures

Scientific paper

10.1140/epja/i2005-10193-0

We develop a new method of solving Bethe-Salpeter (BS) equation in Minkowski space. It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi integral representation of the BS amplitude. This method is valid for any kernel given by the irreducible Feynman graphs. For massless ladder exchange, our approach reproduces analytically the Wick-Cutkosky equation. For massive ladder exchange, the numerical results coincide with the ones obtained by Wick rotation.

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