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Stochastic method with low mode substitution for nucleon isovector matrix elements

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arxiv 1509.04616 v3 pith:24NLY3CM submitted 2015-09-15 hep-lat hep-ph

classification hep-lathep-ph
keywords elementsisovectorlatticematrixmethodnucleonstochasticsubstitution
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We introduce a stochastic sandwich 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 $\langle x\rangle_{u -d}$ are calculated with overlap fermion on 2+1 flavor domain-wall configurations on a $24^3 \times 64$ lattice at $m_{\pi} = 330$ MeV with lattice spacing $a = 0.114$ fm.

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  1. Realization of all-to-all fermion propagator for the first principle high accuracy strong interaction prediction

    hep-lat 2025-05 conditional novelty 8.0 of 10

    A new stochastic estimator, blending distillation low modes with reweighted random high modes, gives unbiased all-to-all fermion propagators and enables sub-percent nucleon axial charge and 4-point pion form factor ca...

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