Double-winding Wilson loops in SU(N) lattice Yang-Mills gauge theory

S. Kato, A. Shibata, K. Kondo
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引用次数: 1

Abstract

We study double-winding Wilson loops in $SU(N)$ lattice Yang-Mills gauge theory by using both strong coupling expansions and numerical simulations. First, we examine how the area law falloff of a ``coplanar'' double-winding Wilson loop average depends on the number of color $N$. Indeed, we find that a coplanar double-winding Wilson loop average obeys a novel ``max-of-areas law'' for $N=3$ and the sum-of-areas law for $N\geq 4$, although we reconfirm the difference-of-areas law for $N=2$. Second, we examine a ``shifted'' double-winding Wilson loop, where the two constituent loops are displaced from one another in a transverse direction. We evaluate its average by changing the distance of a transverse direction and we find that the long distance behavior does not depend on the number of color $N$, while the short distance behavior depends strongly on $N$.
SU(N)晶格Yang-Mills规范理论中的双绕组Wilson环
本文采用强耦合展开和数值模拟的方法研究了$SU(N)$晶格Yang-Mills规范理论中的双绕组Wilson环。首先,我们研究了“共面”双绕组威尔逊环平均的面积律衰减如何取决于颜色的数量$N$。事实上,我们发现共面双绕组威尔逊环平均服从新颖的“面积最大定律”$N=3$和面积和定律$N\geq 4$,尽管我们再次确认面积差异定律$N=2$。其次,我们研究了一个“位移”双绕组威尔逊环,其中两个组成环在横向方向上彼此移位。我们通过改变横方向的距离来评估其平均值,我们发现长距离行为不依赖于颜色的数量$N$,而短距离行为强烈依赖于$N$。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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