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arxiv: 1905.03355 · v1 · submitted 2019-05-08 · ✦ hep-lat

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The Stochastic Feynman-Hellmann Method

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classification ✦ hep-lat
keywords methodaxialchargefeynman-hellmannmomentumpropagatorsinglestochastic
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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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