arXiv 1012.39352010-12-17hep-lat

夸克间势有效弦修正的新结果

New results on the effective string corrections to the inter-quark potential

M. Billo', M. Caselle, V. Verduci, M. Zago

备注：: 7 pages, 1 figures, proceedings of the XXVIII Int'l Symposium on Lattice Field Theory (Lattice2010), June 14-19 2010, Villasimius (Sardinia), Italy
发表信息：: PoS LAT2010:273

摘要：

提出了一种研究格点规范理论中夸克间相互作用势的新方法。而不是看的期望值的Polyakov环路放大器，我们研究的修改引起的色电通量的Polyakov环路的存在。在阿贝尔LGT中，由于对偶性，这种研究可以以非常有效的方式进行，允许以合理的CPU成本达到高精度。这种数值策略的主要优点是，它允许消除占主导地位的有效弦修正夸克间的潜力（Luscher项），从而提供了一个独特的机会来测试高阶修正。在三维规范伊辛模型中进行一组模拟，我们因此能够精确地识别和测量夸克间势的四次和六次有效弦修正。虽然四次项与南部-后藤项完全一致，但六次项肯定不同。我们的结果似乎与Aharony和Karzbrun最近证明的六次校正的普遍性不一致。我们讨论一些可能的解释这种分歧。上述数值方法也可应用于威尔逊圈的研究。在这种情况下，数值结果是足够精确的，以测试的Nambu-Goto行动的双回路预测。Dietz和Filk之前计算的两个循环NG结果与数据不兼容;然而，在纠正了他们表达式中的一些错误后，恢复了兼容性。一阶，操作描述的威尔逊圈的可行性也指出。

英文摘要：

We propose a new approach to the study of the inter-quark potential in Lattice Gauge Theories. Instead of looking at the expectation value of Polyakov loop correlators we study the modifications induced in the chromoelectric flux by the presence of the Polyakov loops. In abelian LGTs, thanks to duality, this study can be performed in a very efficient way, allowing to reach high precision with a reasonable CPU cost. The major advantage of this numerical strategy is that it allows to eliminate the dominant effective string correction to the inter-quark potential (the Luscher term) thus giving an unique opportunity to test higher order corrections. Performing a set of simulations in the 3d gauge Ising model we were thus able to precisely identify and measure both the quartic and the sextic effective string corrections to the inter-quark potential. While the quartic term perfectly agrees with the Nambu-Goto one the sextic term is definitely different. Our result seems to disagree with the recent proof by Aharony and Karzbrun of the universality of the sextic correction. We discuss a few possible explanations of this disagreement. The numerical approach described above can also be applied to the study of Wilson loops. In this case, the numerical results are precise enough to test the two-loop prediction of the Nambu-Goto action. The two-loop NG result computed time ago by by Dietz and Filk is incompatible with the data; however, after correcting some mistakes in their expression, compatibility is restored. The viability of a first-order, operatorial description of the Wilson loop is also pointed out.

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