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Light-Front Bethe-Salpeter Equation by Sales, J. H. O.; Frederico, T.; Carlson, B. V.; Sauer, P. U. is a scholarly article available to read on EtoBox.

What is Light-Front Bethe-Salpeter Equation about?

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.

Author

Sales, J. H. O.; Frederico, T.; Carlson, B. V.; Sauer, P. U.

Published

1999

Language

EN