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arXiv 1301.3099hep-lat
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Wilson手征微扰理论,Wilson-Dirac算子本征值和Clover改进

Wilson chiral perturbation theory, Wilson-Dirac operator eigenvalues and clover improvement

Poul H. Damgaard, Urs M. Heller, Kim Splittorff

摘要:

本征值分布的手征微扰理论和等效随机矩阵理论最近被扩展到包括威尔逊费米子的晶格效应。我们测试的预测比较纯规范(淬火)合奏的厄米特威尔逊-狄拉克算子的本征值分布。我们表明,晶格效应减少时,使用三叶草的狄拉克算子的改进。我们表明,领先的威尔逊低能常数与威尔逊(三叶草)费米子可以确定使用光谱信息的相应狄拉克运营商在有限体积。

英文摘要:

Chiral perturbation theory for eigenvalue distributions, and equivalently random matrix theory, has recently been extended to include lattice effects for Wilson fermions. We test the predictions by comparison to eigenvalue distributions of the Hermitian Wilson-Dirac operator from pure gauge (quenched) ensembles. We show that the lattice effects are diminished when using clover improvement for the Dirac operator. We demonstrate that the leading Wilson low-energy constants associated with Wilson (clover) fermions can be determined using spectral information of the respective Dirac operator at finite volume.

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