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Stochastic method with low mode substitution for nucleon isovector matrix elements

Yi-Bo Yang¹, Andrei Alexandru², Terrence Draper¹, Ming Gong³, and Keh-Fei Liu¹ (χQCD Collaboration)

¹Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
²Department of Physics, The George Washington University, Washington, District of Columbia 20052, USA
³Institute of High Energy Physics and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China

Phys. Rev. D 93, 034503 – Published 11 February, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.034503

Abstract

We introduce a stochastic method with low-mode substitution to evaluate the connected three-point functions. The isovector matrix elements of the nucleon for the axial-vector coupling $g_{A}^{3}$ , scalar couplings $g_{S}^{3}$ and the quark momentum fraction $⟨ x ⟩_{u - d}$ are calculated with overlap fermion on $2 + 1$ flavor domain-wall configurations on a $24^{3} \times 64$ lattice at $m_{π} = 330 MeV$ with lattice spacing $a = 0.114 fm$ .

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Stochastic method with low mode substitution for nucleon isovector matrix elements

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