English

The Stochastic Feynman-Hellmann Method

High Energy Physics - Lattice 2019-05-14 v1

Abstract

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.

Cite

@article{arxiv.1905.03355,
  title  = {The Stochastic Feynman-Hellmann Method},
  author = {Arjun Singh Gambhir and Evan Berkowitz and David Brantley and Chia Cheng Chang and M. A. Clark and Thorsten Kurth and Chris Monahan and Amy Nicholson and Pavlos Vranas and André Walker-Loud},
  journal= {arXiv preprint arXiv:1905.03355},
  year   = {2019}
}

Comments

7 pages, 5 figures, Proceedings for The 36th International Symposium on Lattice Field Theory

R2 v1 2026-06-23T09:00:59.118Z