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arXiv 0911.3254hep-lat
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格子上半轻子形状因子的随机计算方法

A Stochastic Method for Semileptonic Form Factor Calculations on the Lattice

Richard Evans, Gunnar Bali, Sara Collins

摘要:

本文研究了用于格点量子色动力学计算半轻子形状因子的序贯算符方法的一种替代方法。我们用随机传播子代替顺序传播子,这样,原则上,所有的动量和汇拖影组合都只需要一个自旋颜色反转。实际上,随机噪声是显著的,并且必须以更多的反演为代价来减少。我们研究了随机噪声的行为,并比较了这种随机技术和序贯迭代方法的计算成本。我们还利用随机技术给出了由QCDSF合作产生的具有非微扰改进的Sheikoleslami-Wohlert作用量的N_f=2组态的半轻子形状因子的初步结果.在以重夸克反转数衡量的固定成本下,该方法比序贯矩阵方法提供了更多的矩阵来提取不同q^2下的形状因子。这些额外的修正因子减少了某些运动学点的总统计误差,尽管随机误差仍然与其他点的测量误差相当。

英文摘要:

We investigate an alternative to the Sequential Propagator Method used in Lattice QCD calculations of semileptonic form factors. We replace the sequential propagator with a stochastic propagator so that, in principle, all momentum and sink smearing combinations are available with only a single spin-color inversion. Practically, the stochastic noise is significant and must be reduced at the cost of more inversions. We study the behavior of the stochastic noise and compare the computational costs of this stochastic technique and the Sequential Propagator Method. We also present preliminary semileptonic form factor results using the stochastic technique on N_f=2 configurations with a non-perturbatively improved Sheikoleslami-Wohlert action generated by the QCDSF collaboration. At a fixed cost, measured in terms of the number of heavy-quark inversions, the method provides more correlators for the extraction of the form factors at various q^2's than the Sequential Propagator Method. These additional correlators reduce the total statistical errors of certain kinematic points, although the stochastic error is still comparable to the gauge error at other points.

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