arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1206.0080hep-lat
收藏

轻夸克质量重加权

Light Quark Mass Reweighting

Qi Liu, Norman H. Christ, Chulwoo Jung

摘要:

本文系统地研究了轻夸克质量重加权的有效性。这种方法允许一个单一的格点量子色动力学系综,产生一个特定值的动态轻夸克质量,被用来确定其他的结果,附近的轻动态夸克质量。本文研究了轻夸克质量m_l=0.02(m_π=620 MeV)和m_l= 0.01(m_π=420 MeV)的动力学畴壁费米子2+1味产生的两个规范场系综。我们重新加权每个合奏,以确定可以直接从其他计算的结果,并检查重新加权的结果与直接结果的一致性。0.02和0.01轻夸克质量之间的巨大差异表明,这是一个积极的应用重新加权,可以从四个数量级的重新加权因子的幅度波动中看出。尽管如此,这两个系综之间的重新加权的拓扑电荷,平均元格,剩余质量,π介子质量,π介子衰变常数和标量相关的比较显示出良好的统计误差描述的协议。讨论了有效构型数和有限样本偏差问题。拓扑荷分布的研究表明,从较重的夸克质量到较轻的夸克质量的重加权是更有利的。

英文摘要:

We present a systematic study of the effectiveness of light quark mass reweighting. This method allows a single lattice QCD ensemble, generated with a specific value of the dynamical light quark mass, to be used to determine results for other, nearby light dynamical quark masses. We study two gauge field ensembles generated with 2+1 flavors of dynamical domain wall fermions with light quark masses m_l=0.02 (m_π=620 MeV) and m_l=0.01 (m_π=420 MeV). We reweight each ensemble to determine results which could be computed directly from the other and check the consistency of the reweighted results with the direct results. The large difference between the 0.02 and 0.01 light quark masses suggests that this is an aggressive application of reweighting as can be seen from fluctuations in the magnitude of the reweighting factor by four orders of magnitude. Never-the-less, a comparison of the reweighed topological charge, average plaquette, residual mass, pion mass, pion decay constant, and scalar correlator between these two ensembles shows agreement well described by the statistical errors. The issues of the effective number of configurations and finite sample size bias are discussed. An examination of the topological charge distribution implies that it is more favorable to reweight from heavier mass to lighter quark mass.

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。

↑