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 calculations on 40 lattice configurations.
Stochastic method with low mode substitution for nucleon isovector matrix elements
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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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Realization of all-to-all fermion propagator for the first principle high accuracy strong interaction prediction
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 calculations on 40 lattice configurations.