Influence of topology on the scale setting

Influence of topology on the scale setting
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拓扑对尺度设置的影响

DOI:
10.1140/epjp/i2015-15229-7
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发表时间:
2014
期刊:
The European Physical Journal Plus
影响因子:
--
通讯作者:
S. Piemonte
S. Piemonte
中科院分区:
--
文献类型:
--
作者:
G. Bergner;I. Montvay;P. Giudice;G. Münster;S. Piemonte

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摘要:最近,人们提出了一种新的方法来设定格点规范理论中的标度,这种方法是基于Wilson作用产生的梯度流,并且不同的研究小组已经研究了新标度t0和w 0的系统误差。威尔逊流也提供了一个有趣的替代平滑程序,特别是有用的测量的拓扑电荷作为一个纯胶子可观察。通过分析DESY-Muenster协作产生的构型,我们证明了这种方法对N=1超对称杨-米尔斯理论的可行性。的规模和拓扑电荷之间的关系进行了研究,显示出很强的相关性。我们发现,尺度与拓扑荷呈线性关系,其斜率随体积和质量的减小而增大。此外,我们已经调查了这种依赖作为一个函数的参考参数用于定义的规模:这个参数的调整原来是一个更可靠的规模设置的基础。类似的结论也适用于Sommer参数r 0。
Abstract.Recently a new method to set the scale in lattice gauge theories, based on the gradient flow generated by the Wilson action, has been proposed, and the systematic errors of the new scales t0 and w0 have been investigated by various groups. The Wilson flow provides also an interesting alternative smoothing procedure particularly useful for the measurement of the topological charge as a pure gluonic observable. We show the viability of this method for $ N=1$ supersymmetric Yang-Mills theory by analysing the configurations produced by the DESY-Muenster Collaboration. The relation between the scale and the topological charge has been investigated showing a strong correlation. We have found that the scale has a linear dependence on the topological charge, the slope of which increases decreasing the volume and the gluino mass. Moreover we have investigated this dependence as a function of the reference parameter used to define the scale: the tuning of this parameter turns out to be fundamental for a more reliable scale setting. Similar conclusions hold for the Sommer parameter r0.
DOI: 10.1007/jhep11(2013)061
发表时间: 2013
影响因子: 5.4
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发表时间: 2010
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影响因子: --
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