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arXiv 1012.1254hep-lathep-th
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一种研究LGT中有效弦修正的新方法

A new approach to the study of effective string corrections in LGTs

M. Caselle, M. Zago

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。这种策略的主要优点是,它允许消除占主导地位的有效弦修正的夸克间的潜力(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了一系列模拟,从而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。我们的结果似乎不同意最近证明的普遍性的六次校正。我们讨论一些可能的解释这种分歧。

英文摘要:

We propose a new approach to the study of the interquark 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 at a reasonable CPU cost. The major advantage of this strategy is that it allows to eliminate the dominant effective string correction to the interquark 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 interquark 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 of the universality of the sextic correction. We discuss a few possible explanations of this disagreement.

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