论文标题
彩虹 - 阵阵截断
Mass spectrum of pseudo-scalar glueballs from a Bethe-Salpeter approach with the rainbow-ladder truncation
论文作者
论文摘要
我们建议一个基于彩虹近似dyson-schwinger和伯特 - 盐分方程的框架，其有效参数调整为晶格QCD数据，以计算伪量表胶球的地面和激发态的质量。在Landau仪表中分析了用Gluon和Ghost Expagators作为截断的Dyson-Schwinger方程的解决方案的截断的骨盐方程的结构。 Bete-Salpeter和Dyson-Schinginger方程都在数字上求解在同一彩虹束截断内，具有相同的有效参数，可确保该方法的一致性。我们发现，通过一组参数，可以很好地描述Dyson-Schwinger方法中的晶格数据，伪型雪橇胶球的Bethe Salpeter方程的解决方案表现出丰富的质谱，其中还包括通过Lattice计算预测的地面和激发的状态。获得的质谱还包含晶格方法以外的几种中间激发。也提出了伪量表胶球的部分伯特盐量振幅。
We suggest a framework based on the rainbow approximation to the Dyson-Schwinger and Bethe-Salpeter equations with effective parameters adjusted to lattice QCD data to calculate the masses of the ground and excited states of pseudo-scalar glueballs. The structure of the truncated Bethe-Salpeter equation with the gluon and ghost propagators as solutions of the truncated Dyson-Schwinger equations is analysed in Landau gauge. Both, the Bete-Salpeter and Dyson-Schwinger equations, are solved numerically within the same rainbow-ladder truncation with the same effective parameters which ensure consistency of the approach. We found that with a set of parameters, which provides a good description of the lattice data within the Dyson-Schwinger approach, the solutions of the Bethe Salpeter equation for the pseudo-scalar glueballs exhibit a rich mass spectrum which also includes the ground and excited states predicted by lattice calculations. The obtained mass spectrum contains also several intermediate excitations beyond the lattice approaches. The partial Bethe-Salpeter amplitudes of the pseudo-scalar glueballs are presented as well.
