arXiv 1202.43812012-02-20hep-phhep-lat

Yang-Mills二重子系综的真空结构与弦张力

Vacuum structure and string tension in Yang-Mills dimeron ensembles

Falk Zimmermann, Hilmar Forkel, Michael Muller-Preussker

备注：: 36 pages, 17 figures
DOI：: 10.1103/PhysRevD.86.094005

摘要：

我们数值模拟了由经典作用量决定统计权的SU（2）Yang-Mills二分子解系综，并对其性质进行了全面的分析。特别是，我们研究在何种程度上，这些合奏捕获拓扑和限制性质的杨米尔斯真空。这进一步使我们能够测试由二重子解离引发的重子诱导夸克禁闭的经典图像。在小裸耦合，空间，拓扑电荷和颜色之间的相关性的二聚体产生的短程有序屏蔽拓扑电荷。然而，随着耦合的增加，这种顺序迅速减弱，部分原因是二聚体逐渐解离成它们的梅龙成分。通过评估威尔逊环的期望值监测约束性能，我们发现，由于这些逐步解放的merons产生一个有限的和（与耦合）增加弦张力的增长无序。另一方面，静态夸克-反夸克势的短距离行为由小的、“类瞬子”的二分子主导。在物理耦合区，弦张力、作用量密度和二分子系综的拓扑磁化率都达到了标准值的量级。因此，上述结果表明，不依赖于弱耦合或低密度近似，在杨-米尔斯真空中的离解二重子分量确实可以产生一个重子填充的限制相。另一方面，共存的、几乎不离解的、因而类似于瞬子的二重子的密度似乎仍然足够大，可以再现许多由非限制性瞬子真空模型成功解释的额外现象。因此，二重子系综应提供一个有效的基础，而完整的描述杨米尔斯真空。

英文摘要：

We numerically simulate ensembles of SU(2) Yang-Mills dimeron solutions with a statistical weight determined by the classical action and perform a comprehensive analysis of their properties. In particular, we examine the extent to which these ensembles capture topological and confinement properties of the Yang-Mills vacuum. This further allows us to test the classic picture of meron-induced quark confinement as triggered by dimeron dissociation. At small bare couplings, spacial, topological-charge and color correlations among the dimerons generate a short-range order which screens topological charges. With increasing coupling this order weakens rapidly, however, in part because the dimerons gradually dissociate into their meron constituents. Monitoring confinement properties by evaluating Wilson-loop expectation values, we find the growing disorder due to these progressively liberated merons to generate a finite and (with the coupling) increasing string tension. The short-distance behavior of the static quark-antiquark potential, on the other hand, is dominated by small, "instanton-like" dimerons. String tension, action density and topological susceptibility of the dimeron ensembles in the physical coupling region turn out to be of the order of standard values. Hence the above results demonstrate without reliance on weak-coupling or low-density approximations that the dissociating dimeron component in the Yang-Mills vacuum can indeed produce a meron-populated confining phase. The density of coexisting, hardly dissociated and thus instanton-like dimerons seems to remain large enough, on the other hand, to reproduce much of the additional phenomenology successfully accounted for by non-confining instanton vacuum models. Hence dimeron ensembles should provide an efficient basis for a rather complete description of the Yang-Mills vacuum.

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英文摘要：

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