论文标题
有限体积的伪造杆
Spurious poles in a finite volume
论文作者
论文摘要
使用有效范围扩展进行两体幅度振幅可能会在扩展的收敛范围之外产生虚假的子阈值。在无限的体积中，此类极点的出现导致三体方程中的不一致，例如，单位性的分解。我们在有限的体积中研究了虚线对三体量化条件的影响，并表明它会导致能量水平对盒子尺寸$ l $的特殊依赖性。此外，在一个简单的模型中，证明了去除这些极点的程序，该杆最近在参考文献[1]中提出。在无限的体积中，可以适应有限体积计算。精确的能量水平的结构以精确度的准确性来系统地改善EFT扩展中的顺序。
Using effective-range expansion for the two-body amplitudes may generate spurious sub-threshold poles outside of the convergence range of the expansion. In the infinite volume, the emergence of such poles leads to the inconsistencies in the three-body equations, e.g., to the breakdown of unitarity. We investigate the effect of the spurious poles on the three-body quantization condition in a finite volume and show that it leads to a peculiar dependence of the energy levels on the box size $L$. Furthermore, within a simple model, it is demonstrated that the procedure for the removal of these poles, which was recently proposed in Ref.[1] in the infinite volume, can be adapted to the finite-volume calculations. The structure of the exact energy levels is reproduced with an accuracy that systematically improves order by order in the EFT expansion.
