arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1206.2809hep-lat
收藏

开边界条件下的格点量子色动力学和扭转质量重加权

Lattice QCD with open boundary conditions and twisted-mass reweighting

Martin Lüscher, Stefan Schaefer

摘要:

在小的晶格间距和接近其物理值的夸克质量下进行格点量子色动力学模拟在技术上是具有挑战性的。特别是,模拟可能会陷入场空间的拓扑电荷扇区,或者可能会遇到由晶格狄拉克算子的偶然近零模式触发的不稳定性。如参考文献[1]中所述,如果在时间方向上施加开边界条件,则第一个问题被绕过,而第二个问题可以通过扭转质量行列式重新加权来克服[2]。在本文中,我们证明了在开边界条件和O(a)改进的Wilson夸克的2+1味的QCD中,扭曲质量重加权是符合预期的。进一步的算法改进进行了测试,以及几个物理量计算的说明。

英文摘要:

Lattice QCD simulations at small lattice spacings and quark masses close to their physical values are technically challenging. In particular, the simulations can get trapped in the topological charge sectors of field space or may run into instabilities triggered by accidental near-zero modes of the lattice Dirac operator. As already noted in ref. [1], the first problem is bypassed if open boundary conditions are imposed in the time direction, while the second can potentially be overcome through twisted-mass determinant reweighting [2]. In this paper, we show that twisted-mass reweighting works out as expected in QCD with open boundary conditions and 2+1 flavours of O(a) improved Wilson quarks. Further algorithmic improvements are tested as well and a few physical quantities are computed for illustration.

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。

↑