Double-winding Wilson loops in the SU(N) Yang-Mills theory
Double-winding Wilson loops in the SU(N) Yang-Mills theory
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SU(N) Yang-Mills 理论中的双绕组 Wilson 环路
DOI：
10.1103/physrevd.96.105011
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
R. Matsudo and K.-I. Kondo
中科院分区：
文献类型：
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作者：
相馬 充;R. Matsudo and K.-I. Kondo
我们考虑了杨-米尔斯规范理论中的双绕组、三绕组和多绕组威尔逊环。我们研究如何面积法衰减的真空期望值的多绕组威尔逊回路取决于颜色的数量。与最近发现的双绕威尔逊圈平均的面积差定律形成鲜明对比，我们表明，无论时空维数如何，双绕威尔逊圈都遵循一个新的面积定律，对于面积定律的衰减，该面积定律既不是面积差定律，也不是面积和定律，并且对于（），面积差定律被排除，面积和定律被允许，只要弦张力服从Casimir标度的更高的表示。此外，我们将这些结果推广到任意多绕组威尔逊环。其次，我们认为，面积法遵循一个新的法律，这既不是面积之和，也不是面积之差的法律时。事实上，这种行为在二维时空中的杨-米尔斯理论中得到了精确的推导。最后，我们引入了新的Wilson环，其平均值甚至在Yang-Mills理论中也遵循面积差定律。
We consider double-winding, triple-winding, and multiple-winding Wilson loops in theYang-Mills gauge theory. We examine how the area-law falloff of the vacuum expectation value of a multiple-winding Wilson loop depends on the number of color. In sharp contrast to the difference-of-areas law recently found for a double-windingWilson loop average, we show irrespective of the spacetime dimensionality that a double-windingWilson loop follows a novel area law which is neither difference-of-areas nor sum-of-areas law for the area-law falloff and that the difference-of-areas law is excluded and the sum-of-areas law is allowed for(), provided that the string tension obeys the Casimir scaling for the higher representations. Moreover, we extend these results to arbitrary multiple-winding Wilson loops. Next, we argue that the area law follows a novel law, which is neither sum-of-areas nor difference-of-areas law when. In fact, such a behavior is exactly derived in theYang-Mills theory in the two-dimensional spacetime. Finally, we introduce new Wilson loops whose averages are expected to follow the difference-of-areas law even in theYang-Mills theory for.