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arXiv 1606.04887hep-lat
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SU中的彩色涡旋交叉(2)格点规范理论及其对手征性质的影响

Colorful vortex intersections in SU(2) lattice gauge theory and their influencs on chiral properties

Seyed Mohsen Hosseini Nejad, Manfried Faber

摘要:

我们在两个垂直涡旋对的交点附近引入了拓扑非平凡的彩色区域,并研究了它们对Dirac算子的拓扑荷密度和本征模的影响.随着涡之间的距离的增加,最低模式的本征值减小。我们发现,手征密度的最大值和最小值的低模式主要遵循的拓扑电荷密度的分布。拓扑非平凡的颜色结构导致在一些低模式中的手征密度的明显的峰。其他低模反映了交点的拓扑电荷密度。

英文摘要:

We introduce topological non-trivial colorful regions around intersection points of two perpendicular vortex pairs and investigate their influence on topological charge density and eigenmodes of the Dirac operator. With increasing distance between the vortices the eigenvalues of the lowest modes decrease. We show that the maxima and minima of the chiral densities of the low modes follow mainly the distributions of the topological charge densities. The topological non-trivial color structures lead in some low modes to distinct peaks in the chiral densities. The other low modes reflect the topological charge densities of the intersection points.

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