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arXiv 1006.4518hep-lathep-th
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格点量子色动力学中Wilson流的性质和应用

Properties and uses of the Wilson flow in lattice QCD

Martin Lüscher

摘要:

对格点量子色动力学中Wilson流的理论和数值研究表明,在流动时间t>0时得到的规范场是光滑的重整化场。因此,在这个领域中,局部规范不变表达式的期望值是定义良好的物理量,它们在sqrt(t)量级的长度尺度上探索理论。此外,通过变换的QCD泛函积分的规范场在一个指定的流时间的积分,拓扑(瞬子)部门的出现在连续极限变得透明,并被视为是由一个动态效应,迅速分离的部门时,晶格间距从0.1 fm减少到更小的值。

英文摘要:

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t>0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at length scales on the order of sqrt(t). Moreover, by transforming the QCD functional integral to an integral over the gauge field at a specified flow time, the emergence of the topological (instanton) sectors in the continuum limit becomes transparent and is seen to be caused by a dynamical effect that rapidly separates the sectors when the lattice spacing is reduced from 0.1 fm to smaller values.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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