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arXiv · 1012.0246

Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors

J. Carbonell·V. A. Karmanov
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Abstract

We present a new method for solving the two-body Bethe-Salpeter equation in Minkowski space. It is based on the Nakanishi integral representation of the Bethe-Salpeter amplitude and on subsequent projection of the equation on the light-front plane. The method is valid for any kernel given by the irreducible Feynman graphs and for systems of spinless particles or fermions. The Bethe-Salpeter amplitudes in Minkowski space are obtained. The electromagnetic form factors are computed and compared to the Euclidean results.

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J. Carbonell, V. A. Karmanov. 2010-12-01. Solutions of the Bethe-Salpeter equation in Minkowski space and applications to electromagnetic form factors. https://doi.org/10.1007/s00601-010-0133-5

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