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Sales, J.H.O.; Frederico, T.; Carlson, B.V.; Sauer, P.U.: Light-front Bethe-Salpeter equation. In: Physical Review C 61 (2000), Nr. 4, 044003. DOI: https://doi.org/10.1103/PhysRevC.61.044003

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Sum total of downloads: 17




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Abstract: 
A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The arising effective interaction can be perturbatively expanded according to the number of particles exchanged at a given light-front time. An example suggests that the convergence of the expansion is rapid. This result is particular for light-front dynamics. The covariant results of the Bethe-Salpeter equation can be recovered from the corresponding auxiliary three-dimensional ones. The technical procedure is developed for a two-boson case; the idea for an extension to fermions is given. The technical procedure appears quite practicable, possibly allowing one to go beyond the ladder approximation for the solution of the Bethe-Salpeter equation. The relation between the three-dimensional light-front reduction of the field-theoretic Bethe-Salpeter equation and a corresponding quantum-mechanical description is discussed.
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
Document Type: article
Publishing status: publishedVersion
Issue Date: 2000
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 6 35.29%
2 image of flag of China China 5 29.41%
3 image of flag of United States United States 2 11.76%
4 image of flag of Russian Federation Russian Federation 1 5.88%
5 image of flag of Romania Romania 1 5.88%
6 image of flag of Czech Republic Czech Republic 1 5.88%
7 image of flag of Canada Canada 1 5.88%

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