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Reducing discretization errors in lattice QCD spectroscopy

机译:减少晶格QCD光谱中的离散误差

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摘要

The improved Wilson quark action-the clover action-is constructed to have smaller discretization errors than the normal Wilson quark action. We test this in a quenched spectroscopy computation of 6 lattice ensembles with spacings from 0.15 to 0.43 fm. To ensure that the dominant scaling violations come from the fermions we use an O(a~2) improved 6-link SU(3) pure gauge action. We find evidence that fermionic scaling violations are consistent with O(a~2) for clover fermions and O(a) with a nonnegligible O(a~2) term for standard Wilson fermions. This latter mixed ansatz makes a reliable continuum extrapolation problematic for Wilson fermions. For clover fermions, on the other hand, we obtain accurate predictions for hadron masses in quenched continuum QCD. We find that the slopes of the scaling violations are roughly 200 MeV for both Wilson and clover fermions.
机译:改进的威尔逊夸克动作(三叶草动作)与正常威尔逊夸克动作相比,具有较小的离散误差。我们在淬火光谱计算中对6个晶格集成进行了测试,间距从0.15到0.43 fm。为了确保主要的比例违规来自费米子,我们使用O(a〜2)改进的6链SU(3)纯规范动作。我们发现证据表明,三叶草费米子违反了费米离子定标,与O(a〜2)相一致,标准威尔逊费米子的O(a〜2)项与O(a)不可忽略。后者的混合ansatz使得Wilson费米子难以进行可靠的连续统外推。另一方面,对于三叶草费米子,我们获得了淬灭连续QCD中强子质量的准确预测。我们发现,威尔逊和三叶草费米子都违反比例缩放的斜率大约为200 MeV。

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