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arXiv 1905.03355hep-lat
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随机Feynman-Hellmann方法

The Stochastic Feynman-Hellmann Method

Arjun Singh Gambhir, Evan Berkowitz, David Brantley, Chia Cheng Chang, M. A. Clark, Thorsten Kurth, Chris Monahan, Amy Nicholson, Pavlos Vranas, André Walker-Loud

摘要:

由Bouchard等人[1612.06963]实施的Feynman-Hellmann方法最近被成功地用于确定核子轴向电荷。该方法的一个局限性是在计算每个“Feynman-Hellmann”传播子的过程中限制为单个算子和单个动量。通过使用随机技术来估计全对全传播子,我们放松了这一约束,并证明了这种新方法的成功实施。我们再现的轴向收费的测试合奏和非零动量转移点的轴向和矢量形状因子。

英文摘要:

The Feynman-Hellmann method, as implemented by Bouchard et al. [1612.06963], was recently employed successfully to determine the nucleon axial charge. A limitation of the method was the restriction to a single operator and a single momentum during the computation of each "Feynman- Hellmann" propagator. By using stochastic techniques to estimate the all-to-all propagator, we relax this constraint and demonstrate the successful implementation of this new method. We show reproduction of the axial charge on a test ensemble and non-zero momentum transfer points of the axial and vector form factors.

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