论文标题
由于渗透中心涡流而导致红外阳米尔斯波的功能
The infrared Yang-Mills wave functional due to percolating center vortices
论文作者
论文摘要
受到$ SU（N）$ Yang-Mills理论在晶格上观察到的红外领域的中心涡流优势的启发，我们提出了一种真空波功能，该功能位于固定在相关的中心涡流中，并具有刚性和磁性单本，这些涡流会改变涡流通量的方向。在电场表示中，该波功能成为n个复杂标量场的有效分区函数。包括面向和非导向涡流以及所谓的N涡流匹配的构成导致的有效潜力，仅剩下中心对称性。在中心涡流凝结相中，这种对称性自发断裂。在这种情况下，威尔逊环平均值可以通过在最小表面周围定位的孤子鞍点近似。因此，获得的渐近线张力显示Casimir缩放。
Inspired by the center-vortex dominance in the infrared sector of $SU(N)$ Yang-Mills theory observed on the lattice, we propose a vacuum wave functional localized on an ensemble of correlated center vortices endowed with stiffness and magnetic monopoles that change the orientation of the vortex flux. In the electric-field representation, this wave functional becomes an effective partition function for N complex scalar fields. The inclusion of both oriented and non-oriented vortices as well as so-called N-vortex matchings leads to an effective potential that has only a center symmetry left. In the center-vortex condensed phase, this symmetry is spontaneously broken. In this case, the Wilson loop average can be approximated by a solitonic saddle-point localized around the minimal surface. The asymptotic string tension thus obtained displays Casimir scaling.
