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Iterated Resolvent Function for the Ladder Bethe-Salpeter Equation

J. H. O. Sales·T. Frederico·B. M. Pimentel·B. V. Carlson
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Abstract

We developed the formal connection of the field theoretical Bethe-Salpeter equation including the ladder approximation with its representation on the light-front for a bosonic model. We use the light-front Green's function for the N-particle system for two-particles plus N-2 intermediate bosons. We derived an infinite set of coupled hierarchy equations or iterated resolvent from which the Green's function can be calculated. These equations allow a consistent truncation of the light-front Fock-space. We show explicitly the represention of the covariant two-body T-matrix and bound state vertex in the light-front.

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J. H. O. Sales, T. Frederico, B. M. Pimentel, B. V. Carlson. 2006-03-06. Iterated Resolvent Function for the Ladder Bethe-Salpeter Equation. https://arxiv.org/abs/nucl-th/0211089

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