Instanton dominance over αs at low momenta from lattice QCD simulations at Nf = 0, Nf = 2 + 1 and Nf = 2 + 1 + 1

A. Athenodorou, P. Boucaud, F. Soto, J. Rodr'iguez-Quintero, S. Zafeiropoulos
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引用次数: 1

Abstract

We report on an instanton-based analysis of the gluon Green functions in the Landau gauge for low momenta; in particular we use lattice results for αs in the symmetric momentum subtraction scheme (MOM) for large-volume lattice simulations. We have exploited quenched gauge field configurations, N f = 0, with both Wilson and tree-level Symanzik improved actions, and unquenched ones with N f = 2 + 1 and N f = 2 + 1 + 1 dynamical flavors (domain wall and twisted-mass fermions, respectively).We show that the dominance of instanton correlations on the low-momenta gluon Green functions can be applied to the determination of phenomenological parameters of the instanton liquid and, eventually, to a determination of the lattice spacing.We furthermore apply the Gradient Flow to remove short-distance fluctuations. The Gradient Flow gets rid of the QCD scale, ΛQCD , and reveals that the instanton prediction extents to large momenta. For those gauge field configurations free of quantum fluctuations, the direct study of topological charge density shows the appearance of large-scale lumps that can be identified as instantons, giving access to a direct study of the instanton density and size distribution that is compatible with those extracted from the analysis of the Green functions.
在Nf = 0、Nf = 2 + 1和Nf = 2 + 1 + 1条件下晶格QCD模拟的低动量下瞬时子对αs的优势
本文报道了低动量朗道规范中胶子格林函数的一个基于实例的分析;特别地,我们在大体积晶格模拟中使用对称动量减法(MOM)中αs的晶格结果。我们利用了淬灭规范场配置,nf = 0,具有Wilson和树级Symanzik改进动作,以及具有nf = 2 + 1和nf = 2 + 1 + 1动态口味(分别是畴壁和扭曲质量费米子)的未淬灭规范场配置。我们证明了低动量胶子格林函数上的瞬时子相关的优势可以应用于瞬时子液体的现象学参数的确定,并最终应用于晶格间距的确定。我们进一步应用梯度流来消除短距离波动。梯度流去掉了QCD尺度ΛQCD,揭示了瞬时预测扩展到大动量。对于那些没有量子涨落的规范场构型,拓扑电荷密度的直接研究显示了可以被识别为瞬子的大规模团块的外观,从而可以直接研究瞬子密度和尺寸分布,这与从格林函数分析中提取的结果是一致的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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