Overlap valence on 2 + 1 flavor domain wall fermion configurations with deflation and low-mode substitution
Abstract
The overlap fermion propagator is calculated on 2 þ 1 flavor domain-wall fermion gauge
configurations on 163 32, 243 64 and 323 64 lattices. With hyper-cubic (HYP)
smearing and low eigenmode deflation, it is shown that the inversion of the overlap
operator can be expedited by 20 times for the 163 32 lattice and 80 times for
the 323 64 lattice. The overhead cost for calculating eigenmodes ranges from 4.5
to 7.9 propagators for the above lattices. Through the study of hyperfine splitting,
we found that the Oðm2a2Þ error is small and these dynamical fermion lattices can
adequately accommodate quark mass up to the charm quark. A preliminary calculation
of the low-energy constant mix which characterizes the discretization error of the
pion made up of a pair of sea and valence quarks in this mixedaction approach is carried
out via the scalar correlator with periodic and antiperiodic boundary conditions.
It is found to be small which shifts a 300 MeV pion mass by 10 to 19 MeVon these
sets of lattices. We have studied the signal-to-noise issue of the noise source for
the meson and baryon. We introduce a new algorithm with Z3 grid source and low eigenmode
substitution to study the many-to-all meson and baryon correlators. It is found to
be efficient in reducing errors for the correlators of both mesons and baryons. With
64-point Z3 grid source and low-mode substitution, it can reduce the statistical errors
of the light quark (m 200–300 MeV) meson and nucleon correlators by a factor of
3–4 as compared to the point source. The Z3 grid source itself can reduce the errors
of the charmonium correlators by a factor of 3.
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https://hdl.handle.net/10161/5085Published Version (Please cite this version)
10.1103/PhysRevD.82.114501Publication Info
Li, A; Alexandru, A; Chen, Y; Doi, T; Dong, SJ; Draper, T; ... Zhang, JB (2010). Overlap valence on 2 + 1 flavor domain wall fermion configurations with deflation
and low-mode substitution. 10.1103/PhysRevD.82.114501. Retrieved from https://hdl.handle.net/10161/5085.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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