论文标题
在库仑量表中的晶格QCD模拟中的夸克模型的残留物
Remnants of quark model in lattice QCD simulation in the Coulomb gauge
论文作者
论文摘要
针对QCD和Quark模型之间的关系，我们考虑了在库仑量规上淬灭晶格QCD模拟在库仑量表中产生的量规配置的预测，该量规上的16 $^{\ rm 3} $ \ rm \ rm \ rm \ rm \ times $ 32，$ \rmβ$ = 6.0 lattice。首先，我们专注于一个事实，即静态的夸克式抗衡电位独立于空间量规场。我们通过执行$ \ vec {a} $ = 0投影来明确确认这一点，其中空间量规字段全部设置为零。我们还将$ \ vec {a} $ = 0投射到光强壮的强子质量上，发现核子和三角洲bary子质量几乎是退化的，这表明颜色磁相互作用消失了。在考虑了$ \ vec {a} $ = 0投影的物理含义之后，我们接下来提出了一个广义投影，其中空间量规字段是根据Faddeev-Popopov eigenmodes扩展的，只剩下一些特征模型。我们将提出的投影应用于轻质的强子和胶球块，发现N- $ \rmΔ$和0 $^{\ rm ++} $ - 2 $^{\ rm ++} $质量分裂在预测33（0.10 \％）低点的eigenmodes时会显现出明显的互动。我们还发现，只有328（1.00 \％）低衬里的特征模量大约重现了原始的强子质量。这些发现表明，低较低的本征模在强子肿块上的重要作用，并且对于阐明QCD与Quark模型之间的关系非常有用。
Aiming at the relation between QCD and the quark model, we consider projections of gauge configurations generated in quenched lattice QCD simulations in the Coulomb gauge on a 16$^{\rm 3}$ $\rm \times$ 32, $\rm β$ = 6.0 lattice. First, we focus on a fact that the static quark-antiquark potential is independent of spatial gauge fields. We explicitly confirm this by performing $\vec{A}$ = 0 projection, where spatial gauge fields are all set to zero. We also apply the $\vec{A}$ = 0 projection to light hadron masses and find that nucleon and delta baryon masses are almost degenerate, suggesting vanishing of the color-magnetic interactions. After considering the physical meaning of the $\vec{A}$ = 0 projection, we next propose a generalized projection, where spatial gauge fields are expanded in terms of Faddeev-Popov eigenmodes and only some eigenmodes are left. We apply the proposed projection to light hadron and glueball masses and find that the N-$\rm Δ$ and 0$^{\rm ++}$-2$^{\rm ++}$ mass splittings become evident when projected with more than 33 (0.10 \%) low-lying eigenmodes, suggesting emergence of the color-magnetic interactions. We also find that the original hadron masses are approximately reproduced with just 328 (1.00 \%) low-lying eigenmodes. These findings indicate an important role of low-lying eigenmodes on hadron masses and would be useful in clarifying the relation between QCD and the quark model.
