Iterated Resolvent Function for the Ladder Bethe-Salpeter Equation
核理论
2007-05-23 v5
摘要
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.
引用
@article{arxiv.nucl-th/0211089,
title = {Iterated Resolvent Function for the Ladder Bethe-Salpeter Equation},
author = {J. H. O. Sales and T. Frederico and B. M. Pimentel and B. V. Carlson},
journal= {arXiv preprint arXiv:nucl-th/0211089},
year = {2007}
}
备注
16 pages. Contributed to 26th Brazilian National Meeting on Particles and Fields (ENFPC 2005), Sao Lourenco, Brazil, 4-8 Oct 2005