N体Bethe-Salpeter方程的三维约化
高能物理 - 理论
2009-10-31 v3 核理论
摘要
我们通过围绕Bethe-Salpeter核的正能量瞬时近似进行级数展开，然后在三维层面进行另一次级数展开，以获得一个显式厄米的三维势，从而对双费米子Bethe-Salpeter方程进行三维约化。结果表明，该势不再依赖于核的初始近似的选择，并且可以写成非常紧凑的形式。这一结果也可以直接通过从自由传播子的近似出发获得，该近似基于相对能量的积分，而不是更常见的δ约束。此外，该方法可以推广到由玻色子和费米子任意组合构成的N粒子系统。作为例子，我们写出了在费曼规范或库仑规范下交换光子的两或三费米子系统的三维方程。
引用
@article{arxiv.hep-th/0004060,
title = {3D reduction of the N-body Bethe-Salpeter equation},
author = {J. Bijtebier},
journal= {arXiv preprint arXiv:hep-th/0004060},
year = {2009}
}
备注
22 pages, 3 figures in one single ps file. In the first revision, the self-energy corrections to the propagator have been taken into account. The three figures were gathered in a single ps file instead of three eps. In this second revision (after submission to Nuclear Physics A and refereeing) some explanations have been added, plus a new subsection about the scattering of a particle by a bound state