论文标题
在库仑仪中使用FADDEEV-POPOV本本元素投影的强子肿块的研究
Study of Hadron Masses with Faddeev-Popov Eigenmode Projection in the Coulomb Gauge
论文作者
论文摘要
考虑到QCD与Quark模型之间的关系，使用SU（3）晶格QCD，我们研究了空间胶子在库仑仪中的作用。从$ 16^3 \ times 32 $ lattice $β$ = 6.0的库仑规格的配置中，我们认为$ \ vec {a} = 0 $投影，其中所有空间gluon场均设置为零。在这个投影中，Quark潜力没有变化。我们研究了轻体肿块，发现核子和三角洲bary子质量几乎是退化的。该结果表明，n- $δ$质量差来自颜色磁相互作用，这与夸克模型图片一致。接下来，作为对该投影的概括，我们根据Faddeev-Popov eigenmodes扩展了空间Gluon场，仅留下一些部分组件。我们发现$ {\ rm n}-Δ$和$ 0^{++} -2^{++} $粘合球质量分割几乎仅使用1 \％的低层组件复制。这表明低洼的颜色磁相互作用会导致强子质量分裂。
Using SU(3) lattice QCD, we investigate role of spatial gluons for hadron masses in the Coulomb gauge, considering the relation between QCD and the quark model. From the Coulomb-gauge configurations at the quenched level on a $16^3 \times 32$ lattice at $β$ = 6.0, we consider the $\vec{A} = 0$ projection, where all the spatial gluon fields are set to zero. In this projection, the inter-quark potential is unchanged. We investigate light hadron masses and find that nucleon and delta baryon masses are almost degenerate. This result suggests that the N-$Δ$ mass difference arises from the color-magnetic interactions, which is consistent with the quark model picture. Next, as a generalization of this projection, we expand spatial gluon fields in terms of Faddeev-Popov eigenmodes and leave only some partial components. We find that the ${\rm N}-Δ$ and $0^{++}-2^{++}$ glueball mass splittings are almost reproduced only with 1 \% low-lying components. This suggests that low-lying color-magnetic interaction leads to the hadron mass splitting.
