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29 March 2024
 
  » arxiv » nucl-th/9909029

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Light-Front Bethe-Salpeter Equation
J.H.O. Sales ; T.Frederico ; B.V.Carlson ; P.U.Sauer ;
Date 14 Sep 1999
Journal Phys.Rev. C61 (2000) 044003
Subject nucl-th
AffiliationDep.de Fisica, ITA/CTA,Brazil), P.U.Sauer (ITP/Hannover
AbstractA 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.
Source arXiv, nucl-th/9909029
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