三费米子 Bethe-Salpeter 方程三维约化的团簇可分离 Born 近似
高能物理 - 理论
2008-11-26 v2 核理论
摘要
我们基于 Sazdjian 的显协变传播子,结合正能自由态投影算符的协变替代,对两费米子 Bethe-Salpeter 方程进行三维约化。我们将这一组合用于外势中的两个费米子以及三费米子问题。两费米子传播子的协变性保证了在关闭外势、或关闭任意两费米子与第三个费米子之间所有相互作用时,所得两体方程的协变性,即使给出三维势的级数被限制为 Born 项或更一般地截断。正能投影算符的协变替代在不破坏协变性的前提下保护方程免于连续谱溶解。
引用
@article{arxiv.hep-th/9907122,
title = {A cluster-separable Born approximation for the 3D reduction of the three-fermion Bethe-Salpeter equation},
author = {J. Bijtebier},
journal= {arXiv preprint arXiv:hep-th/9907122},
year = {2008}
}
备注
21 pages, 1 figure This article has been deeply modified after refereeing. The presentation has been improved and examples have been added. Three subsections have been added (transition matrix elements, two-body limits, covariant Salpeter's equation). submitted to Journal of Physics G